Answer:
length = 8m and width = 5.5m
Step-by-step explanation:
Let the width be w
Length = 2w - 3
Given, Area = 44m2
Remember, area = length x width
Area = (2w - 3) X w. (expand the bracket)
Area = 2w² - 3w
2w² - 3w = 44
2w² - 3w - 44 = 0
Solve the quadratic equation
2 Factors of -44 that the sum would give -3 = +8 & -11
Rewrite the equation
2w² +8w - 11w -44 = 0 (factorise)
2w(w +4) - 11 ( w + 4) = 0
(2w - 11) ( w + 4) = 0
2w - 11 =0 or w + 4 = 0
2w = 11 or w = -4
W = 11/2 or -4
Width = 5.5m because we can't have a width that is negative.
Therefore length = 2w - 3
Length = 2(5.5) - 3
Length = 11 -3
Length = 8m
Dimension of rectangle is length = 8m and width = 5.5m
That is 8m by 5.5m
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