Answer:
Width = 8m and length = 11m
Step-by-step explanation:
A rectangle is a quadrilateral that is a four sided polygon with two opposite sides parallel and equal.
Let the width be x
Then length = x + 3
Area of a rectangle = length x width
Area = (x+3)(x)
Open bracket
Area = x² + 3x
If area = 88m
Therefore
88 = x² + 3x
x² + 3x - 88 = 0
Solve quadratically using factorisation method by finding two factors of -88 that add up to give 3 the coefficient of x
Factors = 11 and -8 which add up to 3
Rewrite equation
x² + 11x - 8x - 88 = 0
x( x + 11) -8 ( x + 11) = 0
(x -8)(x+11) = 0
x -8 = 0 or x + 11 = 0
x =8 or -11
x = 8m because width can't be negative
Therefore
Length = x + 3
= 8+3 = 11m
Therefore
Width = 8m and length = 11m
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