Question 54

If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?

Solution

If the length of one side of a rectangle is twice that of the other side.

Let's assume the length of other side is 'y'.

length of one side = $$2\times y$$ = 2y

perimeter of a rectangle is 54 cm.

perimeter of a rectangle = 2$$\times$$ (sum of the length of both sides)

$$54 = 2\times(y+2y)$$

3y = 27

y = 9

Length of the longer side of this rectangle = 2y

= $$2\times9$$

= 18 cm

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