Question

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

its length and breadth​

Answer 1

$\huge \bf{QUESTION:-}$

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

$\huge \bf \blue{ANSWER:-}$

As , The sides of a rectangular park are in the ratio 4 : 3.

Length = 4x

Breadth = 3x

Perimeter = 392 m

Formula for perimeter of rectangle

$\cal\green {Perimeter = 2(L+B)}$

392 = 2(4x+3x)

392 = 14x

$x = \frac{392}{14} \\ \\ x = 28$

4x = 4×28 = 112

3x = 84

Side of rectangle = 112 m and 84 m

Length = 112 m

Breadth = 84 m

Answer 2

Answer:

Question

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

• length
• Breadth

Given

1. Ratio of length and breadth
2. Perimeter of the rectangle

Solution

• Let the Length be 4x m
• Let the breadth be 3x m

Because,

Length : Breadth

↦ 4 : 3

Perimeter = 392 m

$\underline{ \boxed{ \sf{ \blue{Formula \: for \: perimeter \: of \: rectangle \: }}}} ↦ \ \bf \: 2(length \: + breadth)$

↦ 392 = 2(4x + 3x)

↦392 = 8x + 6x

↦392 = 14x

$↦x = \cancel \dfrac{392}{14}$

$↦x = 28$

4x ↦ 4 × 28 ↦ 112 meter

3x ↦ 3 × 28 ↦ 84 meter

•°• Two sides of the rectangle is 112 meter and 84 meter

i.e. Length↦ 112 meter

Breadth↦ 84 meter