Postal or Sorting Assistants Model Paper 2 With Solutions

Question : 8 of 100

Marks: +1, -0

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What would be the area of a triangle whose base is equal to the diagonal of the rectangle and whose height is equal to the length of the rectangle? (in

m^2

)

Validate

Solution:

x+x+x + 6 + x+6=84

4x+12 = 84

x= I8m

x + 6

18 + 6 = 24

D^2= (x+6)^2 + x^2

D^2= 24^2+ 18^2

D^2 = 576 + 324 = 900

D= 30

m
Base of triangle = 30m
Height of triangle

= x+ 6=24

m
Area of triangle =

1/2×30×24=360 m^2

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