Question

18. The length and breadth of a rectangle are in the ratio 1:7. If the perimeter of the
rectangle is 192 m, then find the length of its sides.​

Answer 1

total no of parts =7+1=8

=192/8=24

one part =24

length has 1 part=24

breadth has 7 parts =168

Answer 2

Correct Question-:

• The length and breadth of a rectangle are in the ratio 1:7. If the perimeter of the rectangle is 192 m, then find the length of its sides.

AnswEr-:

• $\underline{\boxed{\star{\sf{\purple{The\:sides \:of\:Rectangle\:are\:12m,\:84m,\:12m\:and\:84m}}}}}$

Explanation -:

Given-:

• The length and breadth of a rectangle are in the ratio 1:7.
• The perimeter of the rectangle is 192 m .

To Find -:

• The length of its side .

Now ,

• Let the Length and Breadth of the Rectangle be 1x or x and 7x . --------[1]

• $\underline{\boxed{\star{\sf{\blue{ Perimeter_{(Rectangle)} \: = \: 2(length + breadth)}}}}}$

Here ,

• Length of Rectangle = x m
• Breadth of Rectangle = 7x m .
• Perimeter of Rectangle = 192 m

Now ,

• $\implies {\large{\sf{ 192m = 2 ×( x + 7x ) }}}$
• $\implies {\large{\sf{ 192m = 2 ×( 8x ) }}}$
• $\implies {\large{\sf{ \frac{192}{2} = 8x }}}$
• $\implies {\large{\sf{ 96 = 8x }}}$
• $\implies {\large{\sf{ \frac {96}{8} = x }}}$
• $\implies {\large{\sf{ 12 = x }}}$

Therefore,

• $\underline{\boxed{\star{\sf{\blue{ x \: = 12 }}}}}$

Now ,

• Length of Rectangle = x m = 12 m
• Breadth of Rectangle = 7x m = 84 m

As , we know that ,

• The parallel sides of Rectangle is equal in length.

Hence ,

• $\underline{\boxed{\star{\sf{\purple{The\:sides \:of\:Rectangle\:are\:12m,\:84m,\:12m\:and\:84m}}}}}$

☆ Figure related to this-:

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