Match the List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| Geometrical Function | Formula | ||
| (A) | Area of a Triangle | (I) | 2 (Length + Breadth) |
| (B) | Perimeter of a Rectangle | (II) | π × (Radius)2 |
| (C) | Area of a Parallelogram | (III) | \(\frac{1}{2}\) (Base × Height) |
| (D) | Area of a Circle | (IV) | Base × Height |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A-III, B-I, C-IV, D-II
An area is measured in square units and a perimeter is the length of the boundary, so each formula is matched by what it measures.
(A) Area of a Triangle — this matches (III) \(\frac{1}{2}\) (Base × Height). A triangle is half of a parallelogram on the same base and between the same parallels.
(B) Perimeter of a Rectangle — this matches (I) 2 (Length + Breadth). The boundary has two lengths and two breadths.
(C) Area of a Parallelogram — this matches (IV) Base × Height. Cutting off a triangle from one end and moving it to the other turns the parallelogram into a rectangle of the same base and height.
(D) Area of a Circle — this matches (II) π × (Radius)2, that is, \(\pi r^{2}\).