Question

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

Answer 1

Answer:

Ratio in the side of a rectangle = 4 : 3

Area = 1728 m2

Let length = 4x, and breadth = 3x

∴ Area = l × b

1728 = 4x × 3x

⇒ 12x2 = 1728

⇒ x2 = 1728/12

⇒ x2 = 144 = (12)2

∴ x = 12

∴ Length = 4x = 4 × 12 = 48 m

Breadth = 3x = 3 × 12 = 36 m

Answer 2

Answer:

Given :

• Ratio of length and breadth of a rectangular park = 4 : 3
• Perimeter of rectangular park = 392 m

To find :

• Length
• Breadth

According to the question,

Let,

• The length be '4x'.
• Breadth be '3x'.

We know,

Perimeter of rectangle = 2(l + b)

Where,

l = length

b = breadth

Now,

➝ Perimeter of rectangle = 2(l + b)

➝ 392 = 2(4x + 3x)

➝ 392 = 2(7x)

➝ 392 = 14x

➝ 392 ÷ 14 = x

➝ 28 = x

★ Length :

➝ 4x

➝ 4(28)

➝ 112 m

★ Breadth :

➝ 3x

➝ 3(28)

➝ 84 m

So,

Length = 112 m

Breadth = 84 m

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