Question

Question 7.

Directions: Type the correct answer in the box. Use numerals instead of words. If necessary,
use/ for the fraction bar.
The picture provided shows the floor plan of a house. Calculate the area of the house. Each square on
the grid represents 1 square foot. Use 3.14 for
The area of the house is

Answer 1

The area of the house is
`136.13\ ft^2`

Explanation:

we know that

The area of the floor plan of the house is equal to the area of one rectangle plus the area of a trapezoid plus the area of semicircle

so

step 1

Find the area of the large rectangle

`A=LW`

we have

`L=13\ ft\\W=8\ ft`

substitute

`A=(13)(8)=104\ ft^2`

step 2

Find the area of trapezoid

The area of trapezoid is equal to

`A=(1)/(2)[b_1+b_2]h`

we have

`b_1=5\ ft\\b_2=7\ ft\\h=3\ ft`

substitute

`A=(1)/(2)[5+7]3=18\ ft^2`

step 3

Find the area of semicircle

The area of semicircle is

`A=(1)/(2) \pi r^(2)`

we have

`r=3\ ft`

substitute

`A=(1)/(2) (3.14)(3)^(2)=14.13\ ft^2`

step 4

Adds the areas

`A=104+18+14.13=136.13\ ft^2`