Assertion (A) : The area of trapezium with base 10 cm, height 5 cm and the side parallel to the given base being 6 cm is 40 cm2. Reason (R) : The area of trapezium =1/2 x (sum of non parallel sides) x height. 1. Both A and R are correct, and R is the correct explanation for A. 2. Both A and R are incorrect. 3. A is true, but R is false. 4. A is false, but R is true.

Given, Base = 10 cm Height = 5 cm The side parallel to the given base = 6 cm By formula, Area of trapezium = x (sum of parallel sides) x height. ∴ A is true, but R is false. Hence, option 3 is the correct option.

Mathematics

Assertion (A) : The area of trapezium with base 10 cm, height 5 cm and the side parallel to the given base being 6 cm is 40 cm².
Reason (R) : The area of trapezium = $\dfrac{1}{2}$ x (sum of non parallel sides) x height.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are incorrect.
A is true, but R is false.
A is false, but R is true.

Area Trapezium Polygon

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Answer

Given,

Base = 10 cm

Height = 5 cm

The side parallel to the given base = 6 cm

By formula,

Area of trapezium = $\dfrac{1}{2}$ x (sum of parallel sides) x height.

$\text{Area of given trapezium} = \dfrac{1}{2} \times (10 + 6) \times 5 \\[1em] = \dfrac{1}{2} \times 16 \times 5 \\[1em] = 8 \times 5 \\[1em] = 40 \text{ cm}^2.$

∴ A is true, but R is false.

Hence, option 3 is the correct option.

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Mathematics

Area Trapezium Polygon

Answer

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