Question

8. The length and breadth of a rectangular plot are in the ratio 5:3. If perimeter of the plot is 480m, find its length and breadth.​

Answer 1

Answer:

Let the ratio of length be 5x and ratio of breadth be 3x

perimeter of rectangular plot= 480 m

2 ( l+ b ) = 480

2 ( 5x + 3x) = 480

2 ( 8x ) = 480

16 x = 480

x = 30

length= 5x = 5× 30 = 150m

breadth = 3x = 3 × 30 =90

Answer 2

Given

• Length and Breadth = 5:3
• Perimeter = 480m

Explanation:

❍ Let the Length and Breadth of the Rectangular plot be 5x and 3x Respectively.

Formula

$\maltese \ {\pink{\large{\pmb{\boxed{\sf{ Perimeter_{(Rectangle)} = 2(l+b) }}}}}}$

Where as:

• l = length
• b = Breadth

$\\ \bigstar {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \colon\implies{\sf{ 480 = 2(l+b) }} \\ \\ \\ \colon\implies{\sf{ 480 = 2(5x+3x) }} \\ \\ \\ \colon\implies{\sf{ 480 = 2(8x) }} \\ \\ \\ \colon\implies{\sf{ 480 = 16x }} \\ \\ \\ \colon\implies{\sf{ x = \cancel{ \dfrac{480}{16} } }} \\ \\ \\ \colon\implies{\sf{ x = 30 }}$

Therefore,

• Length = 5x = 5×30 = 150 m
• Breadth = 3x = 3×30 = 90 m

Hence,

$\\ {\underline{\sf{ The \ Length \ and \ Breadth \ of \ Rectangular }}} \\ {\underline{\sf{Plot \ is \ 150m \ and \ 90m .}}}$