Match List - I with List - II.
| List - I | List - II | ||
|---|---|---|---|
| (Shape) | (Area) | ||
| (A) | Square | (I) | \(\pi a^2\) |
| (B) | Triangle | (II) | \(b\times h\) |
| (C) | Circle | (III) | \(a\times a\) |
| (D) | Parallelogram | (IV) | \(\displaystyle\frac{1}{2}b\times h\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
Each shape is matched with the standard formula for its area (a = side or radius, b = base, h = height).
(A) Square — this matches (III) \(a\times a\). All four sides of a square are equal, so its area is side × side.
(B) Triangle — this matches (IV) \(\frac{1}{2}b\times h\). A triangle is half of a parallelogram on the same base and with the same height.
(C) Circle — this matches (I) \(\pi a^2\). The area of a circle is \(\pi\) times the square of its radius, here written as a.
(D) Parallelogram — this matches (II) \(b\times h\). A parallelogram has the area of a rectangle with the same base and height.