Question

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

Answer 1

I hope this helps you

Answer 2

Answer:

Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.

Step-by-step explanation:

Consider a right trapezoid with top side AB is 7 feet and height AD is 7 feet. The bottom side DC is extended to the right with 5 more feet.that is (7+5)  12 feet.

We have to find the area of the doghouse which is in the shape of right trapezoid .

$\text{Area of trapezoid}=\frac{1}{2}\times (\text{sum of parallel sides})\times {\text{(Height)}}$

that is,

$\text{Area of trapezoid}=\frac{1}{2}\times (AB+DC)\times (AD)$

Substitute the values, we get,

$\text{Area of trapezoid}=\frac{1}{2}\times (7+12)\times 7$

$\Rightarrow \text{Area of trapezoid}=\frac{1}{2}\times 19\times 7$

$\Rightarrow \text{Area of trapezoid}=\frac{1}{2}\times 133$

$\Rightarrow \text{Area of trapezoid}=66.5$

Hence, Area of of the doghouse which is in the shape of right trapezoid is 66.5 square feet.