Question

The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. Find the length and the width.

Answer 1

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter $=2(x+4x+7)=2(5x+7)=10x+14$ meters

Hence,

$10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters$