Question

a rectangle is twice as long as it is wide. its perimeter (the sum of the lengths of its sides) is 72 cm. find its length and width (in cm).

Answer 1

12 cm and 24 cm

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Let's denote the width of the rectangle as 'w' and the length as '2w' (since it's twice as long as the width).

The perimeter of a rectangle is given by the formula:

• P = 2(length + width)

Therefore, in this case, it would be:

• 72 = 2(2w + w)

In doing so, we get the equation:

• 6w = 72,

which simplifies to

• w = 12,

meaning the width of the rectangle is 12 cm.

If the length is twice the width, the length of the rectangle is 24 cm.