Maths-

General

Easy

Question

# The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?

Hint:

### Perimeter of a rectangle = 2 (length + breadth)

## The correct answer is: Final Answer:- ∴ Width of the given rectangle is 7 cm.

### Step-by-step solution:-

Let the width of the given rectangular piece be x cm.

∴ width = x cm .......................................................................................... (Equation i)

& length = 3 × width = 3x ........................................................................... (Equation ii)

Now, Perimeter of the given rectangular piece = 2 (length + breadth)

∴ Perimeter of the given rectangular piece = 2 (3x + x) ............................ (From Equations i & ii)

∴ 56 = 2 (3x + x)

∴ 56 = 2 × 4x

∴ 56 / 2 = 4x

∴ 28 = 4x

∴ 28 / 4 = x

∴ 7 = x

Final Answer:-

∴ Width of the given rectangle is 7 cm.

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