Question

A rectangular room is 1.8 times as long as it is wide, and its perimeter is 35 meters.

Find the dimensions of the room. Round the answer to 2 decimal places.

Answer 1

Explanation:

length = 1.8×width

2×length + 2×width = 35

now we use the first equation in the second :

2×(1.8×width) + 2×width = 35

3.6×width + 2×width = 35

5.6×width = 35

width = 35/5.6 = 6.25 meters

length = 1.8×width = 1.8×6.25 = 11.25 meters