Area problems
- 1. The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?
Options- A. 4/?3 cm
- B. ?3/4 cm
- C. 3 cm
- D. 4 cm Discuss
Correct Answer: 4 cm
Explanation:
Area of equilateral triangle = ?3/4 a2 = 4?3.
? a2 = 16
? a = 4 cm
- 2. The area of an equilateral triangle whose side is 8 cms is?
Options- A. 64 cm2
- B. 16?3 cm2
- C. 21.3 cm2
- D. 4?3 cm2 Discuss
Correct Answer: 16?3 cm2
Explanation:
Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2
= 16?3 cm2
- 3. Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.
Options- A. 8?63 sq cm
- B. 5?63 sq cm
- C. 6?53 sq cm
- D. 7?93 sq cm Discuss
Correct Answer: 5?63 sq cm
Explanation:
Given that, a = 8 cm, b = 10 cm and c = 12 cm
We know, that
s = (a + b + c)/2
= (8 + 10 + 12)/2
= 30/2 = 15 cm
? (s - a) = (15 - 8) = 7 cm
(s - b) = (15 - 10) = 5 cm
(s - c) = (15 - 12) = 3 cm
? Area = ?s(s - a) (s - b) (s - c)
= ?15 x 7 x 5 x 3
= ?1575
= ?25 x 63
= 5?63 cm
- 4. Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.
Options- A. 14 cm
- B. 18 cm
- C. 20 cm
- D. 15 cm Discuss
Correct Answer: 15 cm
Explanation:
Given that, a = 6 cm, b = 4 cm and c = 5 cm
Required perimeter = a + b + c
= 6 + 4 + 5 cm
= 15 cm
- 5. The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height.
Options- A. 36/7 cm
- B. 46/7 cm
- C. 26/7 cm
- D. 56/7 cm Discuss
Correct Answer: 26/7 cm
Explanation:
Given that,
area = 40 sq cm,
base = 28 cm and
height = perpendicular = ?
Area = (base x perpendicular) / 2
? 40 = (28 x perpendicular) / 2
? perpendicular = 40/14 = 20/7
= 26/7 cm
- 6. The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.
Options- A. 1 cm
- B. 4 cm
- C. 3 cm
- D. 2 cm Discuss
Correct Answer: 1 cm
Explanation:
Given that, area = 10 sq cm,
perpendicular = 20 cm and base = ?
area = (base x Perpendicular) / 2
? 10 = (base x 20) / 2
? base = 1 cm
- 7. One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?
Options- A. 12.56 cm2
- B. 14.56 cm2
- C. 16.76 cm2
- D. 22.56 cm2 Discuss
Correct Answer: 16.76 cm2
Explanation:
Area of parallelogram = Base x Height
= 8.06 x 2.08 = 16.76 cm2
- 8. Find the area of a rectangle having 15m length and 8m breadth.
Options- A. 120 sq m
- B. 111 sq m
- C. 115 sq m
- D. 125 sq m Discuss
Correct Answer: 120 sq m
Explanation:
Required area = Length x Breadth
= 15 x 8 = 120 sq m
- 9. The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field?
Options- A. (4 x 102) sq m
- B. (4 x 10) sq m
- C. (4 x 104) sq m
- D. (4 x 103) sq m Discuss
Correct Answer: (4 x 103) sq m
Explanation:
Required area = Length x Breadth
= 100 x 40 = 4000 sq m
= 4 x 103 sq m
- 10. If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.
Options- A. 6%
- B. 4%
- C. 5%
- D. 9% Discuss
Correct Answer: 5%
Explanation:
According to the formula,
Percentage increase in diagonals = 5%
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