Question

The perimeter of a rectangular garden is 480 m. If the ratio of length and breadth is 3: 5, find the
dimensions of the garden.​

Answer 1

Step-by-step explanation:

Perimeter of rectangular garden = 480 m

Ratio of length and breadth = 3:5

Let the length be = 3x

And the breadth be = 5x

Therefore,

We know that,

P = 2( l + b )

480 = 2(3x+5x)

480 = 2*8x

480 = 16x

So,

x = 480/16

x = 30

Hence, the dimensions are :

Length = 3x

= 3*30

=90m

Breadth = 5x

= 5*30

=150m

Answer 2

Answer:-

$\red{\bigstar}$ Dimensions of rectangular field are $\large\leadsto\boxed{\tt\purple{140 \times 100 \: m^2}}$

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• Given:-

Ratio of length and breadth of a rectangular field = 3:5

Perimeter of rectangular field = 480 m

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• To Find:-

Dimensions of the rectangular field.

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• Solution:-

Let the length and breadth in the ratio be '3x' and '5x' respectively.

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• According to the question:-

Perimeter of the rectangular field is 480 m.

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Perimeter = 2(l+b)}}}$

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• Substituting in the values:-

➪ $\sf 480 = 2(3x + 5x)$

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➪ $\sf 480 = 2(8x)$

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➪ $\sf 480 = 16x$

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➪ $\sf x = \dfrac{480}{16}$

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★ $\large{\bf\pink{x = 30}}$

Hence,

Length = 3x = 3 × 30 = 90 m

Breadth = 5x = 5 × 30 = 150 m

Therefore, the dimensions of the rectangular field are 90 × 150 m².