Question

Applying the concepts of area, answer the following questions. a. A contractor is covering a square driveway with gravel. One side of the driveway is 22 feet long. How many square feet of ground will he need to cover with gravel? b. Michael is buying a 196-square-foot piece of carpet to put in his square bedroom. What is the length of one of the walls in his room?

Answer 1

Explanation:

Answer 2

a) 484 square feet of ground will be needed to cover with gravel.

b) 14 feet is the length of one of the walls in his room

Explanation:

Area of the square =
`A=(Side)^2`

a) Length of the side of the square driveway ,s= 22 feet

Area of ground covered by gravel be A.

Area enclosed by square driveway is equal to area of ground covered by gravel.

`A = s^2`

Area of square driveway = A=
`s^2=(22 ft)^2=484 ft^2`

484 square feet of ground will be needed to cover with gravel.

b) Area of the square carpet ,A=
`196 ft^2`

Area of the square carpet is equal to the area square bedroom

Length of the square carpet = s

Length of the carpet = Length of the room of Micheal's bedroom

`A = s^2`

`196 ft^2=s^2`

s = ±14 ft

Ignoring the negative value , we get :

s = 14 ft

14 feet is the length of one of the walls in his room.