[tex]{\huge{\underline{\sf{Answer:}}}}[/tex]
» 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.
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