Question

The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the table in meters

Answer 1

The pool's dimension are  l = 2.7 m and w = 1.2 m

Step-by-step explanation:

Step 1 :

Given

The pool's perimeter = 7.8 m

Four times the pool's length = nine times the pool's width.

=> 4l = 9w  => l = ($\frac{9}{4}$) w

Where l is the pool's length and w is the pool's width

Step 2:

The rectangle's formula for perimeter is 2 (l+w)

Substituting l = ($\frac{9}{4}$) w ,

2[ ($\frac{9}{4}$) w + w]  = 7.8 (given)

($\frac{13}{2}$) w  = 7.8 = > w = 1.2 m

Step 3 :

l = ($\frac{9}{4}$) w = ($\frac{9}{4}$) 1.2 = 2.7

l = 2.7 m

Step 4 :

Answer :

The pool's dimension are  l = 2.7 m and w = 1.2 m