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.

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Answer 1

Step-by-step explanation:

Let,

• Length = 4x
• Breadth = 3x

Perimeter of Rectangle = 2(l + b)

⟹ 154 = 2(4x + 3x)

⟹ 154 = 2(7x)

⟹ 154 = 14x

⟹ 14x = 154

⟹ x = 154/14

⟹ x = 11

Therefore,

• Length = 4x = 4×11 = 44cm
• Breadth = 3x = 3×11 = 33cm.

Some Important formulas

Area(rectangle) = l × b

Perimeter (square) = 4×side

Area(square) = (side)²

Answer 2

Answer:

Let, the length is 4x cm and the breadth is 3x cm

The perimeter of rectangle is 154 cm

Perimeter of rectangle = 2 ( l + b )

= 2 ( 4x + 3x )

= 2 ( 7x )

= 14x

= 11

Length = 4x = 4×11 = 44cm

Breadth = 3x = 3×11 =33cm

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