Question

Your new place needs a 12 ft by 18 ft rug. You notice that these sides are 50% longer than the rug from your old place. What were the dimensions of the old rug

Answer 1

The dimensions of the old rug are 8 ft by 12 ft

Explanation:

Let

x ----> the length of the old rug

y ----> the width of the old rug

we know that

`100\%+50\%=150\%=150\100=1.5`

so

The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug

so

`1.5x=12\\x=8\ ft`

`1.5y=18\\y=12\ ft`

therefore

The dimensions of the old rug are 8 ft by 12 ft