Geometry

Quadrilaterals

Easy

If each side of a square is increased by 40%, find the percentage change in its area.

96%

86%

76%

92%

✅ Correct Option: 1

Let the side be $a$ , so area is $a^2$ . New side is $1.4a$ , so new area is $(1.4a)^2 = 1.96a^2$ .

Increase $= 1.96a^2 - a^2 = 0.96a^2$ , which is 96 per cent of the original area.

2022: 26 Aug Shift 1

Find the maximum distance between two points on a perimeter of a rectangular field whose length and breath are 80 m and 60 m.

2026: 22 May Shift 2

Consider the area of the following solids:

(A) A rhombus whose diagonals are 48 cm and 20 cm long.

(B) A trapezium with parallel sides 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm.

(D) A rhombus, whose diagonals are 30 cm and 16 cm.

Arrange the above in ascending order.

Choose the correct answer from the options given below:

2022: 8 Aug Shift 1

The area of DGFE is

2023: 7 June Shift 1

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm $^2$ ) is :

2022: 20 Aug Shift 1

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

2022: 23 Aug Shift 1

If length of diagonal of a square is $7\sqrt{2}$ m. The area of the square is

Solution