The length of the rectangle is three cm less than the width. The area is 54cm find the dimensions

Answer 1

Let the width of the rectangle be x cm.

Then the length of the rectangle would be (x - 3) cm.

Given that the area of the rectangle is 54 cm², we can use the formula for the area of a rectangle:

Area = length x width
54 = (x - 3) x x
54 = x² - 3x
x² - 3x - 54 = 0

By factoring the quadratic equation, we get:

(x - 9)(x + 6) = 0

So, x = 9 or x = -6.

Since the width of a rectangle can't be negative, the width of the rectangle is 9 cm.

And the length of the rectangle would be (9 - 3) = 6 cm.

Therefore, the dimensions of the rectangle are 9 cm x 6 cm.