Question

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The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm, find its length and breadth.​

Answer 1

Given

• The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm,

To Find

• its length and breadth.

Solution

Let, the length of the rectangle be 4x cm and that of breadth = 3x cm

▶ Perimeter of rectangle = 2(l + b)

➟ 2(4x + 3x)

➟ 2 × 7x

➟ 14x cm

➟ 14x = 154

➟ x = 11

Therefore,

Length = 4 × 11 = 44 cm

and breadth = 3 × 11 = 33 cm

_______________________________☄

Answer 2

Given :-

♦ The length and breadth of a rectangle are in the ratio 4 : 3.

♦ The Perimeter is 154 cm.

To find :-

♦ The length

♦ The breadth

Solution :-

Given that

The ratio of the length and the breadth of a rectangle = 4:3

Let they be 4X cm and 3X cm

The length of the rectangle = 4X cm

The breadth of the rectangle = 3X cm

We know that

The Perimeter of a rectangle is 2(length+breadth) units

The Perimeter of the rectangle

=> P = 2(4X+3X) cm

=> P = 2(7X) cm

=> P = 14X cm

According to the given problem

Perimeter of the rectangle = 154 cm

=> 14X = 154

=> X = 154/14

=> X = 11 cm

The value of X = 11 cm

If X = 11 cm then 4X = 4(11) = 44 cm

If X = 11 cm then 3X = 3(11) = 33 cm

Answer:-

♦ The length of the rectangle = 44 cm

♦ The breadth of the rectangle = 33 cm

Used formulae:-

♦ The Perimeter of a rectangle is 2(length+breadth) units