Question

Yvonne cut a picture into the shape of a trapezoid to place into her scrapbook. The picture is shown. What is the area of the picture?

Answer 1

Answer: the triangular part of the trapezoid has an area of 7.5. the rectangular part has an area of 20.

20 + 7.5 = 27.5

Explanation:

Answer 2

Answer: 27.5 square inches

Explanation:

The area of a trapezoid is given by :-

`A=(1)/(2)\text{height}*(\text{sum of parallel sides})`

From the given picture, the measure of the parallel sides are 4 in. and 7 in.

and height (distance between parallel sides) = 5 in.

Then, the area of a trapezoid will be :-

`A=(1)/(2)(5)*(4+7)\\\\\Rightarrow\ A=27.5`

Hence, the area of the picture = 27.5 square inches.