Question

IF the ratio of the lentgh to the breadth of a rectangle be 5:3 and its perimeter is 144 m, find the length of the rectangle

Answer 1

$\boxed{\textbf{\textit{length = 45m}}}$
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Let the common ratio be $\bf{x}$
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Then,
$\textbf{length = 5x }$
$\textbf{breadth = 3x}$
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We know that,

$\underline{Perimeter \: of \: Rectangle} = \textbf{2(l+b)}$
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$= > 2(5x + 3x) = 144 \\ = > 2(8x) = 144 \\ = > 16x = 144 \\ = > x = \frac{144}{16} \\ = > \textbf{x = 9}$

$\bf{Length = 5x = 5(9) = 45m}$

Answer 2

Given :

Ratio of the dimensions of the rectangle .

Ratio Length : Breadth = 5:3

Perimeter = 144 m

To Find :

Length of the rectangle.

Solution :

Sum of the ratio = 5+3 = 7

Now ,

Let the ratios in the form of x ,

5 x : 3 x

Putting these values in perimeter :

Perimeter of rectangle = 2(length+breadth)

144 = 2(5x+3x)

144 = 2(8x)

144/2 = 8x

72= 8x

x = 72/8

x = 9 cm


Now ,

length = 5x = 5(9) = 45 cm

breadth = 3x = 3(9) = 18 cm



What is a rectangle ?

=> A rectangle is a parallelogram having it's opposite sides equal .

=> It's all angles are of 90° each .

=> It is a 2 dimensional closed figure .


What is the perimeter of a rectangle ?

=> 2(Length× Breadth)



What is the area of a rectangle ?

=> Length × Breadth

Thanks !!