Answered

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The area of a rectangle is 54 square feet. Find the length and width if the length is
three feet less than twice the width

Sagot :

devishri1977

Answer:

Width = 6 ft

Length = 9 ft

Step-by-step explanation:

Width =w

Length = 2w - 3

Area = 54 sq. ft

length *width = 54

(2w -3) *w = 54

2w² - 3w = 54

2w² - 3w - 54= 0

P = -108

Sum = -3

Factors = -12,9   {-12 + 9 = -3  & (-12)*9 = -108}

2w² - 12w + 9w -54 = 0

2w(w - 6) + 9(w- 6)=0

(w-6)(2w + 9) = 0

Ignore (2w + 9) as measure wont be negative

w -6 = 0

w = 6 ft

length = 2*6 - 3 = 12-3 = 9 ft

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