What are the possible lengths and widths of a rectangle if its length is 8 centimeters longer than the width, and the area is less than or equal to 33 square centimeters?

Question

Mathematics

Rudy Weiss

13 January, 13:02

What are the possible lengths and widths of a rectangle if its length is 8 centimeters longer than the width, and the area is less than or equal to 33 square centimeters?

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Answers (1)

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Amir Lyons · Answer 1

A = LW

A = (< = 33)

L = W + 8

W (W + 8) < = 33

W^2 + 8W < = 33

W^2 + 8W - 33 < = 0

(W + 11) (W - 3) < = 0

W + 11 < = 0

W < = - 11 (extraneous solution)

W - 3 < = 0

W < = 3 <===

L < = W + 8

L < = 3 + 8

L < = 11 <===