Area problems
- 1. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Options- A. 18%
- B. 28%
- C. 38%
- D. 48% Also asked in: Bank Exams, Bank PO
Correct Answer: 28%
Explanation:
Let original length = x and original breadth = y.
Decrease in area = xy - = (7/25)xy
Decrease % = (7/25)xy * (1/xy) * 100 = 28%
- 2. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 22
- B. 44
- C. 66
- D. 88 Also asked in: Bank Exams, Bank PO
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
- 3. Find the length of the altitude of an equilateral triangle of side 33 cm.
Options- A. 4.5
- B. 3.5
- C. 2.5
- D. 6.5 Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 4.5
Explanation:
Let the length of the altitude be h.
Then, h =
=
= 4.5
- 4. A square and rectangle have equal areas. If their perimeters are p and q respectively. Then
Options- A. p
- B. p>q
- C. p=q
- D. none of these Also asked in: Bank Exams, Bank PO
Correct Answer: p
Explanation:
square and a rectangle with equal areas will satisfy the
relation p < q
- 5. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Options- A. 4.04%
- B. 5.04%
- C. 6.04%
- D. 7.04% Also asked in: Bank Exams, Bank PO
Correct Answer: 4.04%
Explanation:
100 cm is read as 102 cm
a = 100 x 100 sq.cm and b = 102 x 102 sq.cm
then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm
percentage error = = 4.04%
- 6. Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?
Options- A. 13
- B. 14
- C. 15
- D. 16 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 15
Explanation:
We know that,
Area of rectangle A = L x W = 5 x 3 = 15 sq.inches.
- 7. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options- A. 40
- B. 20
- C. 30
- D. none of these Also asked in: Bank Exams, Bank PO
Correct Answer: none of these
Explanation:
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter =5300/23.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m.
- 8. A sector of 120, cut out from a circle, has an area of 667cm2 . Find the radius of the circle ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 3
Explanation:
Let the radius of the circle be r cm. Then,
r=3.
- 9. The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.
Options- A. 2:25
- B. 3:25
- C. 4:25
- D. 6:25 Also asked in: Bank Exams, Bank PO
Correct Answer: 4:25
Explanation:
let the diagonals of the squares be 2x and 5x respectively
ratio of their areas = = 4:25
- 10. If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is
Options- A. a
- B. 2a
- C. 5a
- D. 3a Also asked in: Bank Exams, Bank PO
Correct Answer: 2a
Explanation:
Area of a square with side a = a² sq unts
Area of a triangle with base a = (1/2) * a * h sq.unts
a² =1/2 *a *h
=> h = 2a
altitude of the triangle is 2a
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