Question

The width of a rectangle is 10 units less than the length. If the area is 24 square units, then how do you find the dimensions of the rectangle?

Answer 1

Width: 2 units
Length: 12 units

Explanation:

Let `w` be the width and `10 + w` be the length

Then

`w(10 + w) = 24`

`w^2 + 10w - 24 = 0`

`(w + 12)(w - 2) = 0`

`w = 2 or -12`

Since `w> 0`, the width measures `2` units and the length `12`.

Hopefully this helps!