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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?
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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