a certain square 18 feet on a side has the same area as a rectangle. If one side of the rectangle is 9 feet, what is the number of feet in the other dimension?

a.9
b.2
c.27
d.36

9x = 18*18

To find the dimensions of the rectangle, we need to find the area of the square and compare it to the area of the rectangle.

The area of a square is calculated by multiplying the length of one side by itself. In this case, the square is 18 feet on each side, so its area is 18 * 18 = 324 square feet.

We know that the area of the rectangle is the same as the area of the square, and one side of the rectangle is 9 feet. Let's denote the other side of the rectangle as x.

So the area of the rectangle is 9 * x = 324 square feet.

To find the value of x, we can solve the equation:

9 * x = 324

Dividing both sides of the equation by 9:

x = 36

Therefore, the other dimension of the rectangle is 36 feet. So the correct answer is d.36.