SSC CHSL 17 Mar 2020 Shift 3 Paper

Question : 52 of 100

Marks: +1, -0

The length and breadth of a rectangle are in the ratio

3: 2

. If its perimeter is

730 {\cm}

, what is the area of the rectangle?

Solution:

Let the length and width of rectangle be

3 x

and

2 x {\cm}

, respectively.
We know that,
Perimeter

=2

(length

+

width

)

730=2(3 x+2 x)

730=10 x

x={730}/{10} \⇒x=73

∴ Area of rectangle

=

length

\×

breadth

=3 x \×2 x

=3 \×73 \×2 \×73

=31974 {\cm}^{2}

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