Question

What is the area, in square centimeters, of the figure shown?

Answer 1

For this one, instead of breaking it down into 3 shapes we can simply subtract the missing square area from the total enclosing area...

15*8-4*4

120-16

104 cm^2

Answer 2

`95\ cm^(2)`

Explanation:

we know that

The area of the figure is equal to the area of the whole rectangle minus the area of the smaller square

Find the area of the whole rectangle

The formula to calculate the area of rectangle is equal to

`A=bh`

where

b is the base

h is the height

we have

`b=8\ cm`

`h=15\ cm`

substitute

`A=8*15=120\ cm^(2)`

Find the area of the smaller square

The formula to calculate the area of the square is equal to

`A=b^(2)`

where

b is the length side of the square

we have

`b=15/3=5\ cm`

substitute

`A=5^(2)=25\ cm^(2)`

Find the area of the figure

`A=120\ cm^(2)-25\ cm^(2)=95\ cm^(2)`