Question

The sides of a rectangular park are in the ratio 4 : 3. If its perimeter is 392 m, find its length and breadth​

Answer 1

Question :-

• The sides of a rectangular park are in the ratio 4 : 3. If its perimeter is 392 m, find its length and breadth

Given :-

• Length and Breadth of the Rectangle are in the ratio = 4:3
• Perimeter of the Rectangle = 392m

To Find :-

• Measures of Length and Breadth of Rectangle .

Solution :-

Let the Length be 4x

Let the Breadth be 3x

According To Question :-

$\qquad \quad {:} \longrightarrow \sf\boxed{\bf{Perimeter \: = \: 2(Length \: + \: Breadth) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{392 \: = \: 2(\: 4x \: + \: 3x) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{392 \: = \: 2\: \times \: 7x }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{392 \: = \: 14x }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{\cancel\dfrac{392}{14} \: = \: x }}$

$\qquad \quad {:} \longrightarrow \sf{\bf{28 \: = \: x }}$

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Length = 4x = 4 × 28 = 112m

Breadth = 3x = 3 × 28 = 84m

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Length \: = \underline {\underline{ 112m}}}\\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Breadth \: = \underline {\underline{ 84m}}}\\\end{gathered}\end{gathered}$

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Answer 2

Answer:

let the length and breadth of rectanglar park be 4x and 3x

perimeter (p) = 392m

now

P=2(length +breadth)

329=2(4x+3x)

329/2=7x

196=7x

196/7=x

28=x

therefore length =4x=4*28=112m

breadth=3x=3*28=84m