Moderate Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Find the area of a triangle with base 10 cm and height 8 cm. Area = cm2

Correct! Triangle area formula: 12 × b × h.

(2) Find the area of a parallelogram with base 12 cm and height 7 cm. Area = cm2

Perfect! Parallelogram area: base × height.

(3) Find the area of a square whose diagonal is 14 cm. Area = cm2

Excellent! Or use Area = 12 × d2 = 12 × 142 = 98 cm2.

(4) Find the area of a rhombus with diagonals 16 cm and 12 cm. Area = cm2

Great! Rhombus area uses diagonal formula.

(5) Find the area of a trapezium with parallel sides 8 cm and 14 cm and height 6 cm. Area = cm2

Perfect! Trapezium formula: 12a+bh.

Short Answer Questions (2 Marks Each)

Answer each question with clear calculations

(1) A rectangle has length 15 cm and breadth 9 cm. Find its area. Area = cm2

Perfect calculation!

(2) A triangle has sides 7 cm, 24 cm, and 25 cm. Find its area. Area = cm2

Excellent! Pythagorean triplet: 7-24-25.

(3) Find the area of a parallelogram whose base is 18 cm and height is 10 cm. Area = cm2

Great work!

(4) A rhombus has sides 13 cm and one diagonal 24 cm. Find the area. Area = cm2

(5) A trapezium has parallel sides 12 cm and 20 cm and height 8 cm. Find its area. Area = cm2

Excellent! Trapezium calculation complete.

Long Answer Questions (4 Marks Each)

(1) The sides of a triangle are 8 cm, 15 cm, and 17 cm. Find its area. Area = cm2

(2) A parallelogram has base 20 cm and corresponding height 12 cm. Find its area. Area = cm2

Simple and direct calculation!

(3) A rhombus has diagonals 18 cm and 24 cm. Find its area. Area = cm2

Perfect! Direct application of rhombus formula.

(4) The perimeter of a rectangle is 40 cm and length is 12 cm. Find its area. Area = cm2

(5) A trapezium has parallel sides 10 cm and 16 cm and non-parallel sides 7 cm and 9 cm. Find its area. Area = cm2

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) The area of a rectangle with length 14 cm and breadth 8 cm is:

(a) 112 cm2 (b) 108 cm2 (c) 110 cm2 (d) 120 cm2

Correct! Area = 14 × 8 = 112 cm2.

(2) The area of a triangle with base 10 cm and height 6 cm is:

(a) 30 cm2 (b) 60 cm2 (c) 50 cm2 (d) 36 cm2

Correct! Area = 12 × 10 × 6 = 30 cm2.

(3) The area of a square with side 15 cm is:

(a) 225 cm2 (b) 215 cm2 (c) 230 cm2 (d) 220 cm2

Correct! Area = 152 = 225 cm2.

(4) The area of a parallelogram with base 12 cm and height 5 cm is:

(a) 60 cm2 (b) 50 cm2 (c) 55 cm2 (d) 65 cm2

Correct! Area = 12 × 5 = 60 cm2.

(5) The area of a rhombus with diagonals 10 cm and 24 cm is:

(a) 120 cm2 (b) 124 cm2 (c) 130 cm2 (d) 126 cm2

Correct! Area = 12 × 10 × 24 = 120 cm2.

(6) The area of a trapezium with parallel sides 8 cm and 12 cm, height 5 cm is:

(a) 50 cm2 (b) 45 cm2 (c) 40 cm2 (d) 42 cm2

Correct! Area = 12 × (8 + 12) × 5 = 50 cm2.

(7) A triangle has sides 6 cm, 8 cm, and 10 cm. Its area is:

(a) 24 cm2 (b) 20 cm2 (c) 22 cm2 (d) 26 cm2

Correct! It's a 6-8-10 right triangle, so area = 12 × 6 × 8 = 24 cm2.

(8) The area of a square with diagonal 10 cm is:

(a) 50 cm2 (b) 52 cm2 (c) 48 cm2 (d) 54 cm2

Correct! Area = 12 × d2 = 12 × 102 = 50 cm2.

(9) A rectangle has perimeter 36 cm and breadth 8 cm. Its area is:

(a) 64 cm2 (b) 68 cm2 (c) 60 cm2 (d) 66 cm2

Correct! Length = (36÷2) - 8 = 10 cm. Area = 10 × 8 = 80 cm2.

(10) The area of a parallelogram with base 14 cm and height 9 cm is:

(a) 126 cm2 (b) 120 cm2 (c) 130 cm2 (d) 125 cm2

Correct! Area = 14 × 9 = 126 cm2.

Area Calculation Challenge

Determine whether these statements are True or False:

Area Calculation Quiz