Question

Find the area and perimeter of compound shape. Please help

Answer 1

Answer:

A=140m² and P=54m

Step-by-step explanation:

In order to find the perimeter or area, we are going to first need to find the lenghts of the missing sides. There are two of them, we are going to refer to one as the shorter one and the other as the longer one.

Shorter One = 12-8

Shorter One = 4

Longer One = 15-5

Longer One = 10

From this we can then add the side lengths to find the perimeter of the figure.

Perimeter=5+15+12+8+4+10

Perimeter=20+20+14

Perimeter=54

The perimeter of the figure is 54m, therefore we can eliminate two of the answer choices.

Next, we need to find the area of the figure. The easiest way is to cut the figure into two pieces, I chose to do it by cutting a long rectangle, and then add their areas together.

A=(5*12)+(10*8)

A=60+80

A=140

Therefore the correct answer choice is A=140m² and P=54m