The length of a rectangle is 3m more than double the width and the area is 35m squared find the dimensions of the rectangle

Answer 1

Hi Unique,

If x is the width, then we’re told that the length is 2x + 3.

The area of a rectangle is width times length, so we have

35 = x * (2x + 3)

35 = 2x² + 3x

0 = 2x² + 3x - 35

0 = (2x - 7)(x + 5)

Since a width cannot be negative, the only solution that works is x = 7/2 or 3.5 meters, which means that the length is 2 * 3.5 + 3 = 10.

Answer: 3.5 by 10 meters.

Please let me know if I can be more helpful, thanks!

Joe