Question

What is the area of this composite shape?

Answer 1

Answer:

52 in^2

Step-by-step explanation:

8 times 7 equals 56 ( larger square part)

1/2(3 times 4) equals 6

Answer 2

Answer:

Labeled the diagram as shown below.,

In rectangle ABCD:

Area of the rectangle(A) is given by:

From the diagram:

AB = DC = 8 in. and AD = BC = 7 in.

⇒Length = 7 in. and width = 8 in.

then;

Next, find the area of triangle OAE:

In triangle OAE

Base = AE = 3 in.

Height = OA = 4 in.

then;

Area of this composite figure = area of rectangle ABCD+ area of triangle OAE

⇒Area of this composite figure = 56 +6 = 62 square inches.

therefore,  area of this composite shape is, 62 in²