The shorter side of a rectangle is s + 1 cm. The longer side is twice the length of the shorter side. The perimeter of the rectangle is 36 cm.Calculate s.
Question
The shorter side of a rectangle is s + 1
cm.
The longer side is twice the length of the shorter side.
The perimeter of the rectangle is 36 cm.
Calculate s
.
Solution
To find the value of 's', we need to set up an equation using the information given in the problem.
The perimeter of a rectangle is calculated by the formula: 2*(length + width).
According to the problem, the shorter side of the rectangle (width) is 's + 1' cm and the longer side (length) is twice the length of the shorter side, which is '2*(s + 1)' cm.
So, the equation for the perimeter of the rectangle is:
2*(s + 1 + 2*(s + 1)) = 36
Solving this equation will give us the value of 's'.
First, simplify the equation:
2*(s + 1 + 2s + 2) = 36 2*(3s + 3) = 36 6s + 6 = 36
Then, subtract 6 from both sides of the equation:
6s = 30
Finally, divide both sides of the equation by 6 to solve for 's':
s = 30 / 6 s = 5
So, the value of 's' is 5.
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