Question

A rectangle is to be made from a 24cm long piece of wire. One side of the rectangle is twice as long as the other. Write an equation and solve it.

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Let the shorter side of the rectangle be x cm. Then, the longer side will be 2x cm.

Perimeter of the rectangle is given by the sum of all four sides:

2x + 2(2x) = 24

Simplify the equation:

2x + 4x = 24

6x = 24

Divide by 6 on both sides:

x = 4

So, the shorter side of the rectangle is 4 cm and the longer side is2 \times 4 = 8 cm.

\textbf{Answer:} The shorter side of the rectangle is 4 cm.

Perimeter of the rectangle is given by the sum of all four sides:

Simplify the equation:

Divide by 6 on both sides:

So, the shorter side of the rectangle is 4 cm and the longer side is

\textbf{Answer:} The shorter side of the rectangle is 4 cm.

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