What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?
What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the area of the above trapezoid?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

To find the area of a trapezoid, multiply one half (or 0.5, since we are working with decimals) by the sum of the lengths of its bases (the parallel sides) by its height (the perpendicular distance between the bases). This quantity is

What is the Formula for Area of Trapezoid?

Find the area of the trapezoid:

What is the Formula for Area of Trapezoid?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

The area of a trapezoid can be determined using the equation

What is the Formula for Area of Trapezoid?
.

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the area of the trapezoid?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

The above diagram depicts a rectangle

What is the Formula for Area of Trapezoid?
 with isosceles triangle
What is the Formula for Area of Trapezoid?
. If
What is the Formula for Area of Trapezoid?
 is the midpoint of
What is the Formula for Area of Trapezoid?
, and the area of the orange region is
What is the Formula for Area of Trapezoid?
, then what is the length of one leg of
What is the Formula for Area of Trapezoid?
 ?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

The length of a leg of

What is the Formula for Area of Trapezoid?
 is equal to the height of the orange region, which is a trapezoid. Call this length/height
What is the Formula for Area of Trapezoid?
.

Since the triangle is isosceles, then

What is the Formula for Area of Trapezoid?
, and since
What is the Formula for Area of Trapezoid?
 is the midpoint of
What is the Formula for Area of Trapezoid?
,
What is the Formula for Area of Trapezoid?
. Also, since opposite sides of a rectangle are congruent, 

What is the Formula for Area of Trapezoid?

Therefore, the orange region is a trapezoid with bases 

What is the Formula for Area of Trapezoid?
and
What is the Formula for Area of Trapezoid?
 and height
What is the Formula for Area of Trapezoid?
. Its area is 72, so we can set up and solve this equation using the area formula for a trapezoid:

 

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

This is the length of one leg of the triangle.

A trapezoid has a height of

What is the Formula for Area of Trapezoid?
 inches and bases measuring
What is the Formula for Area of Trapezoid?
 inches and
What is the Formula for Area of Trapezoid?
 inches. What is its area?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

Use the following formula, with 

What is the Formula for Area of Trapezoid?
:

What is the Formula for Area of Trapezoid?

Find the area of a trapezoid with bases equal to 7 and 9 and height is 2.

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

To solve, simply use the formula for the area of a trapezoid.

What is the Formula for Area of Trapezoid?

Thus,

What is the Formula for Area of Trapezoid?

Find the area of a trapezoid with bases of 10 centimeters and 8 centimeters, and a height of 4 centimeters.

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

The formula for area of a trapezoid is:

What is the Formula for Area of Trapezoid?

 where

What is the Formula for Area of Trapezoid?

therefore the area equation becomes,

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

You recently bought a new bookshelf with a base in  the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the depth is 8 inches, what is the area of the base of your new bookshelf?

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Cannot be determined from the information provided.

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

You recently bought a new bookshelf with a base in  the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the depth is 8 inches, what is the area of the base of your new bookshelf?

To find the area of a trapezoid, we need to use the following formula:

What is the Formula for Area of Trapezoid?

Where a and b are the lengths of the bases, and h is the perpendicular distance from one base to another.

We are given a and b, and then h will be the same as our depth. The tricky part is realizing that our depth is in inches, while our base lengths are in feet. We need to convert 8 inches to feet:

What is the Formula for Area of Trapezoid?

Next, plug it all into our equation up above.

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

So our answer is:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

The above diagram shows Rectangle 

What is the Formula for Area of Trapezoid?
, with midpoint 
What is the Formula for Area of Trapezoid?
 of 
What is the Formula for Area of Trapezoid?
.

The area of Quadrilateral 

What is the Formula for Area of Trapezoid?
 is . Evaluate 
What is the Formula for Area of Trapezoid?
.

Possible Answers:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Correct answer:

Explanation:

The easiest way to see this problem is to note that Quadrilateral 

What is the Formula for Area of Trapezoid?
 has as its area that of Rectangle 
What is the Formula for Area of Trapezoid?
 minus that of 
What is the Formula for Area of Trapezoid?
.

The area of Rectangle 

What is the Formula for Area of Trapezoid?
 is its length multiplied by its width:

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?
 is the midpoint of 
What is the Formula for Area of Trapezoid?
, so 
What is the Formula for Area of Trapezoid?
 has as its base and height 
What is the Formula for Area of Trapezoid?
 and 
What is the Formula for Area of Trapezoid?
, respectively; 

its area is half their product, or 

What is the Formula for Area of Trapezoid?

The area of  Quadrilateral 

What is the Formula for Area of Trapezoid?
 is 

What is the Formula for Area of Trapezoid?
, so

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

What is the Formula for Area of Trapezoid?

Omar
Certified Tutor

Arizona State University, Bachelors, Civil Engineering.

What is the Formula for Area of Trapezoid?

Andrew
Certified Tutor

University of South Florida-Main Campus, Bachelors, Biomedical Sciences. New York Medical College, PHD, Doctor of Medicine.

What is the Formula for Area of Trapezoid?

Mike
Certified Tutor

Concordia University-Ann Arbor, Master of Arts Teaching, Mathematics Teacher Education.

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What is the Formula for Area of Trapezoid?