Question

A game room has a perimeter of 70 ft. The length is 5 more than twice the width. How many feet squared of new carpeting should be ordered?

Answer 1

A = 250 square ft

Explanation:

Equations

Let's call:

x = width of the game room

The length is 5 more than twice the width, thus:

2x+5 = length of the game room

The perimeter of a rectangle is twice the sum of the width and the length:

P = 2( x + 2x + 5 )

And the perimeter is 70 ft:

2( x + 2x + 5 ) = 70

Operating:

2( 3x + 5 ) = 70

Dividing by 2:

3x + 5 = 35

Subtracting 5:

3x = 30

Dividing by 3:

x = 30 / 3

x = 10

The width is 10 ft and the length is 2(10)+5=25 ft

The area of the game room is:

A = 10 ft * 25 ft

A = 250 square ft