Question

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

its length and breadth

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Answer 1

Answer:

The length and breadth of a rectangular park are 112 m and 84 cm respectively.

Step-by-step explanation:

Given:

• The sides of a rectangular park are in the ratio 4 : 3.
• Perimeter of a rectangular park = 392 m

To find:

• Length of a rectangular park.
• Breadth of a rectangular park.

Solution:

Let the length and breadth of a rectangular park be 4x and 3x respectively.

As we are already provided with the perimeter of a rectangular park, so by using formula of perimeter of a rectangle, we will find the value of x. After that we will substitute the value of x in both length and breadth respectively to find the length and breadth of a rectangular park.

Let's find out...

✰ Perimeter of a rectangle = 2(l + b)

Where,

• l is the length of a rectangle.
• b is the breadth of a rectangle.

Putting the values in the formula, we have:

• 392 = 2(4x + 3x)
• 392 = 2 × 7x
• 392/2 = 7x
• 196 = 7x
• 196/7 = x
• x = 28

Now, find out both the sides of a rectangular park.

• Length of a rectangular park = 4 × 28
• Length of a rectangular park = 112 m

• Breadth of a rectangular park = 3 × 28
• Length of a rectangular park = 84 m

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Answer 2

Step-by-step explanation:

refer the attachment ...

ans