# Mathematics Questions and Answers – Mensuration – Area of Trapezium – 1

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Mensuration – Area of Trapezium – 1”.

1. Find the area of the given rectangle.

a) 16 cm2
b) 100 cm2
c) 625 cm2
d) 50 cm2

Explanation: Area of rectangle = l × b = 25 × 4 = 100 cm2.

2. Calculate the area of the given figure.

a) 150cm2
b) 125cm2
c) 225cm2
d) 100cm2

Explanation: Area of square = (s)2 = (15)2 = 225cm2.

3. Find the area of the given figure.

a) 20cm2
b) 50cm2
c) 15cm2
d) 25cm2

Explanation: Area of triangle = $$\frac{1}{2}$$ × b × h = $$\frac{1}{2}$$ × 10 × 5 = 25cm2.
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4. What is the area of the given circle? (π = 3.14)

a) 78.5cm2
b) 78cm2
c) 76.5cm2
d) 77cm2

Explanation: Area of circle = π(r)2 = 3.14(5)2 = 78.5cm2.

5. Find the area of the given parallelogram.

a) 142cm2
b) 284cm2
c) 144cm2
d) 288cm2

Explanation: Area of parallelogram = b × h = 12 × 24 = 288cm2.

6. Match the following: (π = $$\frac{22}{7}$$)

 A (Figuers) B (Area) i) a) 616cm2 ii) b) 143cm2 iii) c) 121cm2 iv) d) 5cm2

a) i – c; ii – d; iii – b; iv – d
b) i – c; ii – d; iii – b; iv – b
c) i – c; ii – d; iii – b; iv – c
d) i – c; ii – d; iii – b; iv – a

Explanation: i) Area of parallelogram = b × h = 11 × 11 = 121cm2
ii) Area of triangle = $$\frac{1}{2}$$ × b × h = $$\frac{1}{2}$$ × 2 × 5 = 5cm2
iii) Area of rectangle = l × b = 11 × 13 = 143cm2
iv) Area of circle = π(r)2 = $$\frac{22}{7}$$ (14)2 = 616cm2.

7. Which of the following option is correct if a,b and c are the areas of the given figures (i), (ii) and (iii) respectively? (π = 22/7)

a) a < b < c
b) a > b > c
c) a < b > c
d) b < c > a

Explanation: Area of triangle = $$\frac{1}{2}$$ × b × h = $$\frac{1}{2}$$ × 2 × 5 = 5cm2
Area of rectangle = l × b = 5 × 2 = 10cm2
Area of circle = π(r)2 = $$\frac{22}{7}$$ (7)2 = 154cm2.

8. Find the area of the given figure.

a) 3.14cm2
b) 31.4cm2
c) 3140cm2
d) 314cm2

Explanation: Area of semicircle = π $$\frac{(r)^2}{2}$$ = 3.14(10)2 = 314cm2.

9. Find the area of the Lawn.

a) 500m2
b) 101m2
c) 505m2
d) 504m2

Explanation: Area of lawn can be found by subtracting the area of inner rectangle from square.
Hence, Area of lawn = Area of square – Area of rectangle = (25)2 – (15)(8) = 505m2.

10. Calculate the area of the given figure.

a) 14.28cm2
b) 12.28cm2
c) 7.14cm2
d) 15cm2

Explanation: Area of the given figure = Area of semicircle – Area of triangle = π $$\frac{(r)^2}{2} + \frac{1}{2}$$ × b × h
= π$$\frac{(2)^2}{2} + \frac {1}{2}$$ × 4 × 4 = 14.28cm2.

Sanfoundry Global Education & Learning Series – Mathematics – Class 8.

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