The perimeter of a rectangular room is 59 meters. The length is 5 meters greater than the width. What are the dimensions of the room? Round to the nearest tenth.

Answer 1

Width = x

Length = x+5

Perimeter = 59m

Perimeter = 2 x Width + 2 x Length

P = 2x + 2(x+5)

P = 2x + 2x + 10

P = 4x + 10

4x + 10 = 59

4x = 49

x = 49/4 = 12.25

Width = 12.25

Length = 12.25 + 5 = 17.25

Perimeter = 12.25 + 12.25 + 17.25 + 17.25 = 59m

Dimensions = 12.25m x 17.25m

Rounded to nearest tenth = 12.3m x 17.3m