Maths-

General

Easy

Question

# The length around a rectangular mat is 21 m. If its length is 5 m 60 cm, what is its width?

Hint:

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

## The correct answer is: Final Answer:- ∴ Breadth of the given rectangle is 4.9 m.

### Step-by-step solution:-

Length around a mat = Perimeter of the mat = 21 m ............................. (Equation i)

Now, Length = 5m 60 cm

∴ Length = 5m + 60 cm

∴ Length = 5m + 0.6 m (1m = 100 cm. ∴ 60 cm = 60/100 m = 0.6 m)

∴ Length = 5.6 m …........................................................................ (Equation ii)

Let the breadth of the given rectangle be x m.

Now, we know that-

Perimeter of the given rectangle = 2 (length + breadth)

∴ 21 = 2 (5.6 + x) .................................... (From Equations i & ii)

∴ 21 / 2 = 5.6 + x

∴ 10.5 = 5.6 + x

∴ 10.5 - 5.6 = x

∴ x = 4.9 m

Final Answer:-

∴ Breadth of the given rectangle is 4.9 m.

Note:-

Alternatively, we can say-

4.9 m = 4 m + 0.9 m

∴ 4.9 m = 4 m + 90 cm (1m = 100 cm. ∴ 0.9 m = 0.9 * 100 cm = 90 cm)

∴ 4.9 m = 4 m 90 cm

∴ Breadth of the given rectangle is 4 m 90 cm.

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