Question

A rectangular room is 4 4 times as long as it is wide, and its perimeter is 50 50 meters. find the dimension of the room.

Answer 1

Let the width be x.
Width = x
Length = 4x

Perimeter = 2(Length + Width) 
Perimeter = 2(x + 4x) 
Perimeter = 2(5x) 
Perimeter = 10x

Given that perimeter = 50 m
10x = 50 m
x = 5m

Width = x = 5m
Length = 4x = 4 x 5 = 20 m

Answer: The dimension of the room is 5m by 20 m