## Area problems

• 1. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

• Options
• A. 25% increase
• B. 50% increase
• C. 50% decrease
• D. 75% decrease
• 2. 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. 10%
• B. 10.08%
• C. 20%
• D. 28%
• 3. 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. 50
• C. 120
• E. None of these
• 4. The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet?

• Options
• A.  5 1 4
• B.  13 1 2
• C. 27
• D. 37
• 5. 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. 34
• B. 40
• C. 68
• D. 88
• 6. An error 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. 2%
• B. 2.02%
• C. 4%
• D. 4.04%
• 7. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

• Options
• A. 20
• B. 24
• C. 30
• D. 33
• 8. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

• Options
• A. 15360
• B. 153600
• C. 30720
• D. 307200
• 9. The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

• Options
• A. 9 cm
• B. 18 cm
• C. 20 cm
• D. 41 cm
• 10. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

• Options
• A. 2.91 m
• B. 3 m
• C. 5.82 m
• D. None of these