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CBSE · Class 8 · Mathematics

Area

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
A triangle has base 11 cm and height 13 cm. Its area is:
  1. 24 cm2
  2. 143 cm2
  3. 77 cm2
  4. 71.5 cm2
2.
A parallelogram has base 40 m and height 20 m. Its area is:
  1. 800 m2
  2. 400 m2
  3. 120 m2
  4. 820 m2
3.
The area of a triangle is:
  1. 2 × base × height
  2. base + height
  3. ½ × base × height
  4. base × height
4.
A rhombus has diagonals 7 cm and 13 cm. Its area is:
  1. 20 cm2
  2. 40 cm2
  3. 91 cm2
  4. 45.5 cm2
5.
A trapezium has parallel sides 30 m and 52 m, 18 m apart. Its area is:
  1. 100 m2
  2. 1476 m2
  3. 738 m2
  4. 14040 m2
6.
A triangle has area 84 cm2 and base 12 cm. Its height is:
  1. 26 cm
  2. 14 cm
  3. 7 cm
  4. 28 cm
7.
A triangle with base 10 cm and height 6 cm has area:
  1. 15 cm2
  2. 60 cm2
  3. 30 cm2
  4. 16 cm2
8.
A right-angled triangle has legs 18 cm and 24 cm. Its area is:
  1. 216 cm2
  2. 219 cm2
  3. 42 cm2
  4. 432 cm2
Section B — Short answer8 × 2 = 16 marks
9.
Find the area of a trapezium with parallel sides 6 cm and 31 cm and height 15 cm.
10.
A rhombus has area 289 cm2 and one diagonal 34 cm. Find the other diagonal.
11.
A parallelogram has sides 8 cm and 20 cm. The height on the 8 cm side is 15 cm. Find the area and the height on the 20 cm side.
12.
A house-shaped figure is a rectangle 19 m wide and 4 m tall with a triangle of height 8 m on top. Find its area.
13.
A field ABCD has diagonal AC = 42 m. The perpendiculars from B and D to AC are 18 m and 15 m. Find the area of the field.
14.
A triangle has area 114 m2 and height 19 m. Find its base.
15.
A trapezium has area 561 cm2, height 22 cm and one parallel side 17 cm. Find the other parallel side.
16.
A triangle of base 14 cm and height 2 cm is cut out of a rectangle 24 cm by 14 cm. What area is left?
Section C — Word problems4 × 4 = 16 marks
17.
A field is a trapezium with parallel sides 56 m and 75 m, 58 m apart. Ploughing costs Rs 4 per m2. Find the area and the cost.
18.
Isha makes a kite in the shape of a rhombus with diagonals 22 cm and 48 cm. How much paper does it use? How much for 5 such kites?
19.
A floor plan is L-shaped: a 9 m by 15 m room joined to a 6 m by 10 m room. Find the total floor area and the cost of tiling at Rs 800 per m2.
20.
A garden is a parallelogram with base 14 m and height 21 m. A path 1 m wide runs across it, parallel to the base, all the way along. What area of garden is left for plants?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 8 · Mathematics

Answer key

Area · AW-8M-ARE-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 71.5 cm2½ × 11 × 13
2(a) 800 m240 × 20
3(c) ½ × base × height—
4(d) 45.5 cm2½ × 7 × 13
5(c) 738 m2½ × (30 + 52) × 18
6(b) 14 cm2 × 84 ÷ 12
7(c) 30 cm2—
8(a) 216 cm2the legs are the base and height: ½ × 18 × 24
9277.5 cm2½ × 37 × 15
1017 cm2 × 289 ÷ 34
11120 cm2; 6 cm8 × 15 = 120; 120 ÷ 20
12152 m219 × 4 + ½ × 19 × 8 = 76 + 76
13693 m2½ × 42 × (18 + 15)
1412 m2 × 114 ÷ 19
1534 cm2 × 561 ÷ 22 = 51; 51 − 17
16322 cm2336 − 14
173799 m2; Rs 15,196½ × 131 × 58 = 3799; × 4
18528 cm2; 2640 cm2½ × 22 × 48
19195 m2; Rs 156,000135 + 60
20280 m214 × 21 − 14 × 1