Find the area of shaded portion – InterviewSolution

1.

Find the area of shaded portion

Answer»

Answer:

110 cm²

Step-by-step explanation:

length = 18 cm ; breadth = 10 cm

To find Area of rectangle :

$\implies$ $\sf{A = length×breadth}$

$\implies$ $\sf{A=18×10 }$

$\implies$ $\sf{Area=180cm^<klux>2</klux> }$

To find area of triangles :

Triangle 1 : BASE = 6 cm ; height = 10 cm

$\implies$ $\sf{A={\Large\frac{1}{2}}×b×h }$

$\implies$ $\sf{A={\Large\frac{1}{2}}×6×10 }$

$\implies$ $\sf{A=30 cm^2 }$

Traingle 2 : base = 10 cm ; height = 8 cm

$\implies$ $\sf{A={\Large\frac{1}{2}}×b×h }$

$\implies$ $\sf{A={\Large\frac{1}{2}}×10×8 }$

$\implies$ $\sf{A=40 cm^2 }$

Now,

To find Area of the shaded region :

Ar of Shaded region = Area of rectangle - ( Ar of triangle 1 + Ar of triangle 2)

$\implies$ $\sf{Ar\:of\:Shaded\:region=180-(30+40)}$

$\implies$ $\sf{Ar\:of\:Shaded\:region=180-70}$

$\implies$ $\sf{Ar\:of\:Shaded\:region=110\:cm^2}$

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