Respuesta :
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 [tex]\frac{2}{3}x[/tex]
Area of the rug = 24 sq. feet
As we know the formula for rectangle:
[tex]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[/tex]
So, length of the rug is 6 feet.
The breadth of the rug is [tex]\frac{2}{3}\times 6=4\ ft[/tex]
