The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, of the rectangle?

Question

Mathematics

Kaylen Boyd

1 January, 19:29

The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the length, in units, of the rectangle?

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Answers (1)

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Kaylyn Lopez · Answer 1

8

Step-by-step explanation:

Width is x.

Length is (x + 1).

Area = length*width

56 = x (x+1)

x² + x - 56 = 0

(x+8) (x-7) = 0

x = - 8, or x = 7

" - 8" is impossible for width.

So, width x = 7

Length = (x+1) = 7+1 = 8