Area of Triangles and Quadrilaterals - Questions - Class Mathematics School Portal

Area of Triangles and Quadrilaterals - Questions

Question 1

15112

Find the area of the adjacent shape.

Answer

$60~\rm{cm}^2$

Worked Solution

Question 2

15113

Find the area of the following shape

Answer

$430~\text{cm}^2$

Worked Solution

$$
\begin{aligned}
\text{Area}&=\left(\frac{1}{2}(a+b)h\right)\\
\text{Area}&=\frac{1}{2}\times (10+33)\times 20\\
&=430~\text{cm}^2
\end{aligned}
$$

Question 3

15114

Find the area of the adjacent shape.

Answer

$208~\text{cm}^2$

Worked Solution

$$
\begin{aligned}\text{Area}&=\text{Sum of two triangles}\\
\text{Where }A&=\frac{1}{2}bh\\ &\\
\text{Area}&=\frac{1}{2}\times 20\times 16+\frac{1}{2}\times 6\times 16\\
&=160+48\\
&=208~\text{cm}^2
\end{aligned}
$$

Question 4

15115

Find the area of the shaded region in the following shape

Answer

$550~\text{cm}^2$

Worked Solution

Question 5

15116

Find the area of the shaded region in the following shape

Answer

$252~\text{mm}^2$

Worked Solution

Question 6

112782

Find the area in the adjacent shape given that $CD=BC=4$ and $AF=3$

Answer

$22 \text{ u}^2$

Worked Solution

Question 7

112783

Find the area of the adjacent shape given that $BC=DC=DF=FE=6 \text{ cm}$

Answer

$108 \text{ cm}^2$

Worked Solution

Question 8

112784

$ABCD$ is a square with side length $8 \text{ cm}$. $E,\,F,\,G,\,H$ are the midpoints of the sides of the square.

Find the area of the shaded region.

Answer

$32\text{ cm}^2$

Worked Solution

Question 9

112785

A rectangle $DEGF$ is enclosed in a triangle $ABC$. Given that $DE=2,\,DF=4,\,CB=6$ and the height of triangle $ABC$ is $7$, find the area of the shaded region.

Answer

$13 \text{ u}^2$

Worked Solution

Question 10

112786

$ABCD$ is a rectangle. $AB=22$ and $AD=6$.

$EFCD$ is a trapezium with height $EG=2$ and side $EF=18$.

Find the area of the shaded region.

Answer

$92 \text{ u}^2$

Worked Solution