Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft