Mathematics: 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

cant see the graphStep-by-step explanation:...

The perimeter of a pool table is about 7.8m. four

juliopejfuhrf5447

20.01.2022

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

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