A rectangular room is three times as long as it is wide, and its perimeter is 32 meters. Find the length of the room

Question

A rectangular room is three times as long as it is wide, and it’s perimeter is 32 meters. Find the length of the room.

Answer 1

Hi Madison,

A rectangular room is three times as long as it is wide, and its perimeter is 32 meters. Find the length of the room

Given:

1. Rectangular room
2. 3 times as long as wide
3. Perimeter 32meters

Find: Length of the room

Formulas: Since you are given a rectangle, we have the following formula:

Perimeter = 2x length + 2x width

We are told that "its 3 times as long as wide"

Let w = width

Let L = length

then L = 3w

Now we can use the given information to solve the problem.

Perimeter = 2length + 2 width // The Perimeter is 32 meters

32 meters = 2 (3w) + 2(w)

32 = 8w

32/8 = w

w = 4

Length = 3w = 3(4) = 12

Hope this helps :)