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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.

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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.

This problem has been solved

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