Question

The length and breadth of a rectangle are in the ratio 3:1. if the perimeter of the rectangle is 72cm. find the length of rectangle.​

Answer 1

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72

Answer 2

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72

Answer 3

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72

Answer 4

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72

Answer 5

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72

Answer 6

Step-by-step explanation:

✬ Length = 27 m ✬

Step-by-step explanation:

Given:

Length and Breadth of a rectangle are in ratio 3 : 1.

Perimeter of rectangle is 72 m.

To Find:

What is the measure of length ?

Solution: Let x be the common in given ratio. Therefore,

➟ Length = 3x m

➟ Breadth = x m

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

Perimeter is 72 m.

72 = 2(3x + x)

72 = 6x + 2x

72 = 8x

72/8 = x

9 = x

So,

➫ Length of rectangle = 3x = 3(9) = 27 m

➫ Breadth = x = 9 m

__________________

★ Verification ★

➙ 72 = 2(18 + 9)

➙ 72 = 2(36)

➙ 72 = 72