Question

Brianna has a rug that has an area of 24 square feet .The width if the rug is 2/3 the length of the rug.what is the width if the rug

Answer 1

The width is 18 because 24 feet divided by 2/3 equals 16

Answer 2

Answer: Length and breadth of the rug are 6 ft and 4 ft resp.

Explanation:

Let the length of the rug be x

Let the width of the rug be
`(2)/(3)x`

Area of the rug = 24 sq. feet

As we know the formula for rectangle:

`Area=Length* breadth\\\\24=x* (2x)/(3)\\\\24=(2x^2)/(3)\\\\24* 3=2x^2\\\\72=2x^2\\\\36=x^2\\\\x=6\ ft`

So, length of the rug is 6 feet.

The breadth of the rug is
`(2)/(3)* 6=4\ ft`