The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the
rectangl
1 answer:
Answer:
Length = 34
Step-by-step explanation:
Perimeter of rectangle = a+a+b+b = 2(a+b)
Let a = length = 2b - 4
Let b = width
Therefore
(2b-4) + (2b-4) + b + b = 106 cm
Bracket off
2b-4+2b-4+b+b = 106cm
Collect like terms
2b+2b+b+b-4-4 = 106cm
6b-8 = 106
6b = 106+8
6b = 114
b = 114÷6
b = 19
To get a
2b - 4
2(19) - 4
38-4
= 34
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