Question

Alicia is sewing a rectangle bedspread that measures 72 inches by 60 inches. The bedspread is red with a gold circle 18 inches in diameter in the center. To the nearest square inch, what is the area of the bedspread that is red?

Answer 1

`4,066\ in^(2)`

Explanation:

we know that

The area of the bedspread that is red is equal to the area of rectangle minus the area of the circle

step 1

Find the area of rectangle

The area is equal to

`A=72*60=4,320\ in^(2)`

step 2

Find the area of the circle

`A=\pi r^(2)`

we have

`r=18/2=9\ in` ----> the radius is half the diameter

assume

`\pi=3.14`

substitute

`A=(3.14)(9)^(2)`

`A=254.34\ in^(2)`

step 3

Find the area of the bedspread that is red

Find the difference of the areas

`4,320\ in^(2)-254.34\ in^(2)=4,066\ in^(2)`