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
[tex]x = \frac{9y}{4}[/tex]
The perimeter of a pool table is about 7.8m
Perimeter = 7.8 meter
2(length + width) = 7.8
[tex]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[/tex]
Therefore,
[tex]x = \frac{9y}{4}\\\\x = \frac{9 \times 1.2 }{4}\\\\x = 2.7[/tex]
Thus length of table is 2.7 meter and width of table is 1.2 meter
