Area problems
- 1. Find the perimeter and area of a square that has a side of length 14 feet.
Options- A. 176
- B. 186
- C. 196
- D. 206 Also asked in: Bank Exams, Bank PO
Correct Answer: 196
Explanation:
Perimeter of a square p=4s ,where s=length of its side
=> p=4(14)=56 feets
Area of a square A = s x s
=> A=196
The perimeter is 56 feet, and the area is 196 square feet.
- 2. If a parallelogram with area p, a triangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then
Options- A. P=R
- B. P=A
- C. P=A/2
- D. P=2R Also asked in: Bank Exams, Bank PO
Correct Answer: P=R
Explanation:
let each have base = b and height = h
then p = b*h, R = b*h and T = (1/2) * b*h
so P = R, P = 2T and T = (1/2)*R are all correct statements
- 3. A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?
Options- A. 10%
- B. 20%
- C. 30%
- D. 40% Also asked in: Bank Exams, Bank PO
Correct Answer: 30%
Explanation:
let the side of the square be x meters
length of two sides = 2x meters
diagonal =
= 1.414x m
saving on 2x meters = .59x m
saving % = %
= 30% (approx)
- 4. The area of a rectangle is 80 cm.If its length is 16 cm, what is its width?
Options- A. 5cm
- B. 10cm
- C. 15cm
- D. 20cm Also asked in: Bank Exams, Bank PO
Correct Answer: 5cm
Explanation:
A=LB
- 5. The area of a square is 49 mm. What is the length of each side?
Options- A. 5mm
- B. 6mm
- C. 7mm
- D. 8mm Also asked in: Bank Exams, Bank PO
Correct Answer: 7mm
Explanation:
- 6. Find the area of the rectangle or square with the given dimensions s=10 feet
Options- A. 500
- B. 100
- C. 200
- D. 300 Also asked in: Bank Exams, Bank PO
Correct Answer: 100
Explanation:
- 7. A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course
Options- A. 480
- B. 560
- C. 180
- D. 460 Also asked in: Bank Exams, Bank PO
Correct Answer: 480
Explanation:
A = lw
- 8. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Options- A. rs.458
- B. rs,558
- C. rs.658
- D. rs.758 Also asked in: Bank Exams, Bank PO
Correct Answer: rs,558
Explanation:
Area to be plastered= [2(l + b) x h] + (l x b)
= [2(25 + 12) x 6] + (25 x 12)
= (444 + 300)
= 744 sq.m
Cost of plastering = Rs.744 x (75/100)
- 9. Two concentric circles form a ring. The inner and outer circumferences of ring are 5187 m and 3527 m respectively. Find the width of the ring.
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
Let the inner and outer radii be r and R metres.
Then
=> Width of the ring = (R - r) = (12 - 8) m = 4 m.
- 10. If the radius of a circle is decreased by 50% , find the percentage decrease in its area.
Options- A. 75%
- B. 65%
- C. 35%
- D. 25% Also asked in: Bank Exams, Bank PO
Correct Answer: 75%
Explanation:
let original radius = r and new radius = (50/100) r = r/2
original area =
and new area =
decrease in area =
*
*100 = 75%
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