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Let the length be 2x-6 and the width be x:

(2x-6)*x = 140 square meters

Mutiply out the brackets:

2x2-6x = 140

2x2-6x-140 = 0

Solving the above equation using the quadratic equation formula will result in:

x = -7 or x = 10 so it must be the latter because dimensions can't be negative.

Therefore: length = 14 meters and width = 10 meters

Check: 14*10 = 140 square meters

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Q: A rectangular room has an area of 140 sq meters. Its length is 6 meters shorter than twice its width. What is the rooms length and width?
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