Question

The length of a rectangle is four times its width.

Answer 1

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» The length of the rectangle is 40 cm, while the width is 10 cm.

Solution:

Let us understand a few concepts:

• the length l of the rectangle is four times its width w, so we let the length l = 4w.
• the perimeter of the rectangle is 100 cm.

Given that the perimeter of the rectangle is given by the formula P = 2 (l + w), we can solve for the missing values by forming an equation:

• P = 2 (l + w)
• 100 = 2 (l + w)
• 100 = 2 (4w + w)
• 100 = 2 (5w)
• 10w = 100
• w = 100/10
• w = 10 cm

Now we know the value of the width, which is 10 cm, we now solve for the length such that the length is four times the width.

• l = 4w
• l = 4(10)
• l = 40 cm

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${\huge{\underline{\sf{Hope\:It\:Helps}}}}$

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