Question

the widhth of a rectangular sheet of paper is 20 cm its ratio of lenghth to width is 3:2 find its lenghth​

Answer 1

☞Correct Question:

The width of a rectangular sheet of paper is 20 cm its ratio of lenghth to width is 3:2 find its length.

☞Required Answer:

The length of rectangular sheet of paper is 30cm.

☞Solution :

✩Given

•Width of rectangular sheet of paper = 20cm

•Ratio of rectangle (length to width) = 3:2

✩To find:

Length of rectangular sheet of paper ?

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☞How to solve:

=>Length to width ratio = 3:2

let 'x' be constant value

Let length = 3x

Let width = 2x

We know that width = 2x

Now,

2x = 20

x = 20/2

x = 10cm

✒Value of x = 10cm

Length = 3x

= 3 × 10cm

= 30cm

✒Therefore, Length of rectangular sheet of paper is 30cm.

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☞Verification

Length to width = 3:2

length = 30cm

Breadth = 20cm

$\sf\dfrac{30}{20}$ = $\sf\dfrac{3}{2}$

$\sf\dfrac{3}{2}$ = $\sf\dfrac{3}{2}$

L.H.S. = R.H.S.

Hence verified.

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✒Perimeter of rectangular sheet

= 2×(l + b)

= 2 × (30 + 20) cm

= 2 × (50) cm

= 100cm²

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✒Area of rectangular sheet = l × b

= 30 × 20

= 600cm².

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