Question

You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is

one and a half times the width, what is the width?
4 feet
8 feet
10 feet
12 feet

Answer 1

8 feet

Explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 9
`3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>√(x^2) = √(64) \\=> x = 8`6 sq. feet

Width of bathroom be x

Given that the length of the bathroom is one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of bathroom is 86 sq. feet, therefore

`3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>√(x^2) = √(64) \\=> x = 8`

Thus, width of bathroom is 8 feet.