Question

The length and width of a rectangle are consecutive even integers. The area of the rectangle is 48 square units.What are the length and width of the rectangle? Separate the answers with a comma.​

Answer 1

width: 6 units, length: 8 units

Explanation:

x × (x + 2) = 48

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) - 6(x + 8) = 0

(x + 8)(x - 6) = 0

x = -8, 6

x cannot be -8 because it's a length

x + 2 = 8