Respuesta :

Answer:

91 in²

Step-by-step explanation:

Area of tarpezoid = (sum of both bases x height) / 2

A = ((11 + 15) x 7) /2 = 91

Answer: 91 in ²

This has to be answered in three parts:

1) Area of square
2) Area of triangle
3) Addition of both areas

Let’s start with step one: area of square. The easiest way to solve this sort of equation is by breaking the shape into two easier shapes and finding the area of both. I have attached an image below of how we will separate these shapes

Let’s find the area of the square.

Step 1) Write formula

l • w = a

Step 2) Fill in information and solve

7 • 11 = 77

That’s the area of the square! Now let’s move onto the triangle

Step 1) Write formula

1/2(b•h)

Step 2) Fill in information and solve

(Though it doesn’t say the base, we can find this by subtracting 15 and 11)

1/2(4•7)

1/2 (28)=14

That’s the area of the triangle side! Now let’s add these together for the final answer

Final Step: Finding final area

To find the area of the whole shape, let’s add these two together

Triangle: 14
Square:77

14+77=91

Hope this is right and it helps comment below for more questions :)