Question

Find the area of the shaded portion in the following
Square side = 15cm
Triangle base =3
Triangle height =x

Answer 1

Answer:

Area of the shaded portion = 45cm²

Step-by-step explanation:

To find :

Area of the shaded portion

Concept :

So , the shaded portion of the figure are triangle and their base and height are 3 cm and 15 cm .

Height is 15 cm because the not shaded portion is a square and the triangle is a right angle triangle . Therefore , its height will be 15 cm .

First find the area of one of the triangle then multiply it with 2 to find the area of the shaded portion . Because there are two triangles .

So , to find the area of the triangle use this formula -:

$\boxed{\tt{A=\dfrac{1}{2}\times\:b\times\:h}}$

Where,

A = Area of the triangle

b = Base

h = Height

Solution :

$:\Rightarrow\tt{A=\dfrac{1}{\cancel{2}}\times\cancel{3cm}\times15cm}$

$:\Rightarrow\tt{A=1.5\times15cm}$

$:\Rightarrow\tt{A=22.5{cm}^{2}}$

Area of the shaded portion -:

$:\Rightarrow\tt{22.5{cm}^{2}\times2}$

$:\Rightarrow\tt{A=45{cm}^{2}}$

So , the area of the shaded portion is 45cm² .