A rectangle has an area of 40 square units. The length is 6 units greater than the width. Question A rectangle has an area of 40 square units. The length is 6 units greater than the width. in progress 0 Math Skylar 2 weeks 2021-09-08T04:33:56+00:00 2021-09-08T04:33:56+00:00 2 Answers 0

## Answers ( )

Sorry got it mixed up- 4 is width length is 10

Answer:Answer:

The width is 4 units, and the length is 10 units.

Step-by-step.Step-by-step explanation:

area of rectangle = length * width

Let L = length; let W = width.

“The length is 6 units greater than the width.”: L = W + 6

area = LW = 40

Since L = W + 6, we substitute L with W + 6.

(W + 6)W = 40

W^2 + 6W = 40

W^2 + 6W – 40 = 0

(W – 4)(W + 10) = 0

W – 4 = 0 or W + 10 = 0

W = 4 or W = -10

A width cannot be a negative number, so we discard the solution W = -10.

W = 4

L = W + 6 = 4 + 6 = 10

The width is 4 units, and the length is 10 units.