Problema Solution

A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room.

Answer provided by our tutors

Lets denote by 'a' and 'b' the sides of the rectangle. We need to find 'a' and 'b'.

We have:

a = b + 3

2a + 2b = 22 If we divide by 2 on the both sides of the equation we get

a + b = 11

Lets put for a = b+3 then we have

b + 3 + b = 11

2b + 3 = 11

2b = 8

b = 8/2

b = 4

a = b + 3

a = 4 + 3

a = 7

The dimensions of the room are 7 meters and 4 meters.