Question

The length and breadth of a rectangular field are in the ratio 5:3 . If its perimeter is 128 m , find the dimesions of the field

Answer 1

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राधे राधे

Given-:
Perimeter of rectangular field= 128m

To find-:
Length=?
Breadth=?

Solution-:

Let the Ratio. be X
So, Length= 5x and Breadth=3x

As we know that
Perimeter of Rectangle= 2(length+breadth)
So,
=> 128 = 2(5x+3x)
=> 128 = 2×8x
=> 128 = 16x
=>. X=8


So, Length= 5×8=40
Breadth= 3×8=24

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Answer 2

$<b>Heya Mate$
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$\huge\bold{Answer:}$
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$\underline\bold{Step-by-step \: explanation}$

As we know the perimeter of a rectangle is 2(l+b)
Then,
Let the numbers be 5x and 3x

2(5x+3x)= 128
10x+ 6x= 128
16x= 128
x= 8

5x= 5×8= 40 cm (length)
3x= 3×8= 24 cm (breadth)

Length of the rectangle= $\boxed{40 \: cm}$
Breadth of the triangle= $\boxed{24 \: cm}$

$\huge\bold{Verification}$
2(40+24)= 128

2× 64= 128
128= 128

Hence verified.
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$\sf\green{Hope \: it \: helps \: you}$
$\sf\pink{Please \: mark \: as \: the \: brainliest}$
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