Assertion (A) : The diagonal of a square 9√2 cm. Its area = 81 cm^2. Reason (R) : The area of a square = 1/2 x d^2, where d is the length of the diagonal 1. Both A and R are correct, and R is the correct explanation for A. 2. Both A and R are correct, and R is not the correct explanation for A. 3. A is true, but R is false. 4. A is false, but R is true.

Given, the diagonal of a square = cm By formula, The area of a square = x d2, where d is the length of the diagonal. So, reason (R) is true. Given, The diagonal of a square is cm. So, assertion (A) is true. ∴ Both A and R are correct, and R is the correct explanation for A. Hence, option 1 is the correct option.

Mathematics

Assertion (A) : The diagonal of a square is $9\sqrt{2}$ cm. Its area = 81 cm².
Reason (R) : The area of a square = $\dfrac{1}{2}$ x d², where d is the length of the diagonal
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.

Area Trapezium Polygon

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Answer

Given, the diagonal of a square = $9\sqrt{2}$ cm

By formula,

The area of a square = $\dfrac{1}{2}$ x d², where d is the length of the diagonal.

So, reason (R) is true.

Given,

The diagonal of a square is $9\sqrt{2}$ cm.

$\text{Area of square } = \dfrac{1}{2} \times (9\sqrt{2})^2 \\[1em] = \dfrac{1}{2} \times 81 \times 2 \\[1em] = 81 \text{ cm}^2.$

So, assertion (A) is true.

∴ Both A and R are correct, and R is the correct explanation for A.

Hence, option 1 is the correct option.

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Mathematics

Area Trapezium Polygon

Answer

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