Geometry

Quadrilaterals

Easy

If each side of a square is increased by 20%. Find the percentage increase in its area.

20 %

25 %

36 %

44 %

✅ Correct Option: 4

If side increases by 20%, new side $= 1.2s$ . New area $= (1.2s)^2 = 1.44s^2$ . Increase $= 0.44s^2$ , which is 44% of $s^2$ .

2025: 30 May Shift 2

If the points A(3, 0), B(x, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus, taken in order, find the value of x.

2024

In a square, lengths of the diagonals are $(4k + 6)$ cm and $(7k − 3)$ cm. The area of the square (in cm²) is:

2022: 17 Aug Shift 1

If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is.

2025: 29 May Shift 2

In the adjoining figure, a rectangle has dimensions of 18 cm x 12 cm. The area of the parallelogram (shaded portion) is

2022: 6 Aug Shift 1

If a square has a diagonal of length $6\sqrt{2}$ cm, then the area of square is:

2026: 29 May Shift 1

Find the maximum distance between two points on the perimeter of a rectangular garden whose length and breadth are 20 meter and 15 meter.

Solution