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.

Step-by-step explanation:

Let the length of the rug be x

Let the width of the rug be $\frac{2}{3}x$

Area of the rug = 24 sq. feet

As we know the formula for rectangle:

$Area=Length\times breadth\\\\24=x\times \frac{2x}{3}\\\\24=\frac{2x^2}{3}\\\\24\times 3=2x^2\\\\72=2x^2\\\\36=x^2\\\\x=6\ ft$

So, length of the rug is 6 feet.

The breadth of the rug is $\frac{2}{3}\times 6=4\ ft$