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?

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

Step-by-step explanation:

Area of the square =

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.

Area of square driveway = A=  

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

b) Area of the square carpet ,A=

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

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.

The length of one wall of the room is 13 inches. If the room is squared shape, all the side lengths must be 13 inches.

Since the adjacent walls are at right angles to each other, the diagonal can be found using the Pythagorean Theorem. So if all side lengths are 13 inches each, the length of diagonal will be:

The length of this diagonal is different from the length of diagonal given. Hence this proves the shape of room is not square. Rather it is rectangular. 

We can find the exact length of other side by using the Pythagorean Theorem again. Let the length of other side is x, so

Therefore, length of the other side, rounded of to nearest inch is 8 inches.