Question

Question 7.

Answer 1

Answer:

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

Step-by-step 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

$A=\frac{1}{2}[b_1+b_2]h$

we have

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

substitute

$A=\frac{1}{2}[5+7]3=18\ ft^2$

step 3

Find the area of semicircle

The area of semicircle is

$A=\frac{1}{2} \pi r^{2}$

we have

$r=3\ ft$

substitute

$A=\frac{1}{2} (3.14)(3)^{2}=14.13\ ft^2$

step 4

Adds the areas

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