The length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70m2. Find the dimensions of the rectangle

Question

Talan Brandt

Mathematics

4 July, 09:52

The length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70m2. Find the dimensions of the rectangle

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Answers (1)

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Rylee Nguyen · Answer 1

If the width = x m then the length = 2x - 4 m

Area = x (2x - 4) = 70

2x^2 - 4x - 70 = 0

2x^2 - 14x + 10x - 70 = 0

2x (x - 7) + 10 (x - 7) = 0

(2x + 10) (x - 7) = 0

x = 7 or - 5 (ignore negative)

width = 7 m and length = 10 m answer