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The length of a rectangle is 6 centimeters greater than the width. The area of the
rectangle is 112 square centimeters. Find the length and the width.

Sagot :

devishri1977

Answer:

Step-by-step explanation:

Width = w

Length = w + 6

Area = 112 sq. cm

length * width = 112

(w +6 ) *w = 112

w²  +6w -112 = 0

Sum = 6

Product = -112

Factors = 14 , -8    {14 - 8 = 6 , (-8)*14 = -112}

w² +  14w - 8w -112 = 0

w(w + 14) - 8(w + 14)=0

(w +14)(w -8) = 0   {Ignore w + 18 as measurement won't be negative}

w - 8 = 0

w = 8 ft

Length = 8 + 6 = 14 ft

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