Question

18. The length of a rectangle is three times its width and its perimeter is 96 m. The length is
(a) 12 m
(b) 24 m
let 36 m
(d) 48 m
Answer fast this also.
Very important.
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Answer 1

Answer:

Option c is correct.

Done by Aritra kar.

Hope you are looking for this answer.

Answer 2

Solution :-

Given :-

• Length of a Rectangle is three times its width.
• Perimeter of the Rectangle = 96m

Let :-

• Width of the Rectangle = x
• Length = 3x

Now, We know that :-

Perimeter of the Rectangle = 2(l+b)

$\leadsto\sf{Perimeter = 2(3x+x)}$

$\leadsto\sf{Perimeter = 2(4x)}$

$\leadsto\sf{Perimeter = 8x}$

Also, Perimeter = 96m (Given)

$\sf{\therefore~8x=96m}$

$\leadsto\sf{x=\cancel\frac{96m}{8}}$

$\leadsto\sf{x=12m}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Then;

• $\red{\sf{Width = x = 12m}}$
• $\purple{\sf{Length = 3(12m) = 36m}}$