Management Aptitude Test 2015 Paper

(b) Sides of a triangle
a = 5 cm, b = 12 cm and c = 13 cm
s =

a+b+c

2

=

5+12+13

2

=

30

2

= 15
Area of triangle
= √s(s−a)(s−b)(s−c)
= √15(15−5)(15−12)(15−13)
= √15×10×3×2
= √5×3×5×2×3×2
= √5×5×3×3×2×2
= 5 x 3 x 2 = 30 cm2
Area of rectangle = Area of triangle
Hence, area of rectangle = 30 cm2
Width of rectangle = 10 cm
Area of rectangle = Length x Width
30 = l x 10
∴ l = 3 cm
Perimeter of rectangle =2(l + W)
= 2(35+ 10) =2 x 13 = 26 cm