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Sagot :
You have that a rectangle has a perimeter of 86cm and its length is 1cm more than twice its width.
If W is the width and L is the length you can write the previous situation as follow:
part a:
2W + 2L = 86 perimeter of the rectangle
part b:
L = 2W + 1
replace the expression for y into the equation 2x + 2y = 86, just as follow:
2W + 2(2W + 1) = 86 expand the parenthesis
2W + 4W + 2 = 86 subtract 2 both sides and simplify like terms
6W = 86 - 2
6W = 84
W = 84/6
W = 14
L = 2W + 1 = 2(14) + 1 = 28 + 1 = 29
part c:
The length is 29 cm
part d:
The width is 14 cm
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