(C) The area of a trapezium is calculated by the formula: $\text{Area} = \frac{1}{2} \times (a + b) \times h$,where $a$ and $b$ are the lengths of the

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$\frac{1}{2} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$

(C) The area of a trapezium is calculated by the formula: $\text{Area} = \frac{1}{2} \times (a + b) \times h$,where $a$ and $b$ are the lengths of the parallel sides and $h$ is the perpendicular distance (height) between them.Therefore,the correct formula is $\frac{1}{2} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$.

Class 9 Mathematics Heron’s Formula Mix Examples - Heron’s Formula

Easy

Area of a trapezium $=$ .........

A
$\frac{3}{1} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$
B
$\frac{3}{2} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$
C
$\frac{1}{2} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$
D
$\frac{1}{4} \times \text{sum of parallel sides} \times \text{distance between parallel sides}$

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Heron’s Formula

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Mix Examples - Heron’s Formula

Write True or False and justify your answer.
The base and the corresponding altitude of a parallelogram are $10 \text{ cm}$ and $3.5 \text{ cm}$,respectively. The area of the parallelogram is $30 \text{ cm}^2$.

Medium

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The measurements of the sides of a triangle are $12 \, cm$,$17 \, cm$,and $25 \, cm$. Find the area of this triangle. (in $, cm^2$)

Medium

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In a parallelogram $ABCD$,the base $AB$ and the corresponding altitude $DM$ are $16 \, cm$ and $12 \, cm$,then the area of $ABCD =$ ................ $cm^{2}$.

Medium

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$A$ rhombus-shaped sheet with a perimeter of $40 \, cm$ and one diagonal of $12 \, cm$ is painted on both sides at the rate of $Rs \, 5$ per $cm^2$. Find the cost of painting (in $Rs$).

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Area of a square $= (........... )^{2}.$

Easy

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Area of a trapezium $=$ .........

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Write True or False and justify your answer.The base and the corresponding altitude of a parallelogram are $10 \text{ cm}$ and $3.5 \text{ cm}$,respectively. The area of the parallelogram is $30 \text{ cm}^2$.

The measurements of the sides of a triangle are $12 \, cm$,$17 \, cm$,and $25 \, cm$. Find the area of this triangle. (in $, cm^2$)

In a parallelogram $ABCD$,the base $AB$ and the corresponding altitude $DM$ are $16 \, cm$ and $12 \, cm$,then the area of $ABCD =$ ................ $cm^{2}$.

$A$ rhombus-shaped sheet with a perimeter of $40 \, cm$ and one diagonal of $12 \, cm$ is painted on both sides at the rate of $Rs \, 5$ per $cm^2$. Find the cost of painting (in $Rs$).

Area of a square $= (........... )^{2}.$

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Write True or False and justify your answer.
The base and the corresponding altitude of a parallelogram are $10 \text{ cm}$ and $3.5 \text{ cm}$,respectively. The area of the parallelogram is $30 \text{ cm}^2$.