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

Length of table is 2.7 meter and width of table is 1.2 meter

Solution:

Let "x" be the length of table

Let "y" be the width of table

four times the length equals nine times the width

Therefore,

4x = 9y

$x = \frac{9y}{4}$

The perimeter of a pool table is about 7.8m

Perimeter = 7.8 meter

2(length + width) = 7.8

$2(\frac{9y}{4} + y) = 7.8\\\\\4.5y + 2y = 7.8\\\\6.5y = 7.8\\\\Divide\ both\ sides\ by\ 6.5\\\\y = 1.2$

Therefore,

$x = \frac{9y}{4}\\\\x = \frac{9 \times 1.2 }{4}\\\\x = 2.7$

Thus length of table is 2.7 meter and width of table is 1.2 meter