Question

The length of a rectangle is three times its width.

If the perimeter of the rectangle is 64 cm, find its length and width.

Answer 1

• Length = 24 cm

• Width = 8 cm

Step-by-step explanation:

Given

• Length = 3 x Width
• Perimeter = 64 cm

Solving

• Perimeter = 2(Length) + 2(Width)
• Perimeter = 2(Length + Width)
• Perimeter = 2(3 x Width + Width)
• Perimeter = 2(4 x Width)
• Perimeter = 8 x Width
• 64 = 8 x Width
• Width = 64/8 = 8 cm
• Length = Width x 3 = 8 x 3 = 24 cm

Answer 2

Length: 24 cm

Width: 8 cm

Step-by-step explanation:

Let Width be "w"

Then Length is "3w"

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Perimeter of rectangle = 2(length+width)

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• 2(3w+w) = 64

• (4w) = 32

• w = 8

So, width is 8 cm

Length: 3w ⇒ 3(8) ⇒ 24 cm