Question

The length and breadth of a rectangle are in the ratio 3:2.If its area is 216cm square ,then its perimeter is​

Answer 1

6

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Answer 2

Answer:

let length be 3x cm and breadth be 2x cm

so \: area \: be \: = 3x \times 2x = 6 {x}^{2} {cm}^{2}soareabe=3x×2x=6x

2

cm

2

now

\begin{gathered}6 {x}^{2} = 216 \\ or. \: {x}^{2} = \frac{216}{6} = 36 \\ or. \: x = \sqrt{36} = 6 \: \: \\ (as \: length \: cannot \: be \: negative)\end{gathered}

6x

2

=216

or.x

2

=

6

216

=36

or.x=

36

=6

(aslengthcannotbenegative)

now length be = 3×6= 18 cm and breadth be =2×6 = 12 cm

so perimeter of the rectangle be =2(18+12)= 2×30 =60 cm