Question

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

Answer 1

Answer:

• The length of the rectangular park is 112 m and breadth is 84 m.

Step-by-step explanation:

Given :-

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

To Find :-

• Length and breadth of the rectangular park.

Basic Terms :-

• Length : Length is a measure of how long an object is or the distance between two points.
• Breadth : Breadth is the width of a shape and describes the distance from the right side to the left side of a shape.

Formula Used :-

⦾ To find the dimensions we know that,

✦ Perimeter of rectangle = 2(l + b) ✦

where,

• Perimeter = 392 m.
• l = length.
• b = breadth.

Solution :-

➊ Firstly, let us consider the length and breadth of the rectangular park be 4x and 3x.

Given :

• Perimeter = 392 m.
• length = 4x.
• breadth = 3x.

According to the question by using the formula we get,

↦ Perimeter of rectangle = 2(l + b)

↦ 392 = 2(4x + 3x)

↦ 392 = 8x + 6x

↦ 392 = 14x

↦ x = 392/14

➦ x = 28 m.

➋ Now, we will find out the length and breadth of the rectangular park.

➲ Length = 4x = 4 × 28 = 112 m.

➲ Breadth = 3x = 3 × 28 = 84 m.

∴ Hence, the length and breadth of the rectangular park is 112 m and 84 m.

❖ Verification ❖

↦ 392 = 2(4x + 3x)

↦ 392 = 8x + 6x

Putting x = 28 we get,

↦ 392 = 8(28) + 6(28)

↦ 392 = 224 + 168

↦ 392 = 392

➦ LHS = RHS

∴ Hence, Verified ✔