Question

find the area of rectangle whose sides are in the ratio 5 : 12 :13 and it's perimeter is 60 ​

Answer 1

let the sides of triangle be

5x, 12x, and 13x

therefore

perimeter=5x+12x+13x

60=30x

x=2

now

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Answer 2

let the sides be 5x,12x,13x

now, perimeter=60

5x+12x+13x=60

30x=60

x=2

now sides are;

10 , 24 , 26

now using herons formula,

s= a+b+c/2

=10+24+26/2

= 30

area = √s(s-a)(s-b)(s-c)

      =√30(30-10)(30-24)(30-26)

      =√30(20)(6)(4)

       √30*480

      √14400

      =120 unit^2

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