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 = (9y)/(4)`

The perimeter of a pool table is about 7.8m

Perimeter = 7.8 meter

2(length + width) = 7.8

`2((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 = (9y)/(4)\\\\x = (9 * 1.2 )/(4)\\\\x = 2.7`

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