Mensuration I : Area and Perimeter :

Rectangular : Area = L × B

Perimeter/Circumference = 2( L + B )

Square : Area = ( side )²

Perimeter/ Circumference = 4 × side

Circle : Area = Λ × r²

Perimeter/ Circumference = 2 × Λ × r

Radius (r) = diameter/2

Diameter = r × 2

r = Radius, Λ = 22/7

1. The respective ratio of the length and breadth of rectangular plot is

3:2. If the length of the plot is 40 meters more than its breadth, what is the perimeter of the rectangular plot?

(1) 300 meters

(2) 400 meters

(3) 500 meters

(4) Can not be determined

(5) None of these

2. The area of a square is three-fifth the area of a rectangular. The length of the rectangular is 25 cms. and its breadth is 10 cms less than its length. What is the perimeter of the square ?

(1) 80 cms

(2) 44 cms

(3) 60 cms

(4) 48 cms

(5) None of these

3. The length of a rectangular is 16 cms. which is 2 cms. more than the diameter of a circle. What is the area of the circle?

(1) 112 Sq. cms.

(2) 161 Sq. cms.

(3) 160 Sq. cms.

(4) 132 Sq. cms

(5) 154 Sq. cms

4. The area of a circular plot is twice the area of a rectangular plot. If the area of the rectangular plot is 11088 sq. meters. What is the perimeter of the circular plot?

(1) 572 meters

(2) 528 meters

(3) 440 meters

(4) 484 meters

(5) 576 meters

5. The area of a rectangle is four-third the area of a square. The area of the square is 729 sq. cms and the length of the rectangle is 81 cms. What is the difference between the side of the square and the breadth of the rectangle ?

(1) 15 cms.

(2) 18 cms.

(3) 27 cms.

(4) 24 cms.

(5) None of these

6. The circumference of a circle is equal to the perimeter of a rectangle. The length and the breadth of the rectangle are 45 cms. and 43 cms. respectively. What is half the radius of the circle ?

(1) 28 cms.

(2) 27 cms.

(3) 15 cms.

(4) 24 cms.

(5) None of these

7. The area of a rectangle is 1.8 times the area of a square. The length of the rectangle is five times the breadth. The side of the square is 20 cm. What is the perimeter of the rectangle ?

(1) 145 cm

(2) 132 cm

(3) 145 cm

(4) 144 cm

(5) None of these

8. The side of a square is 5 cm. which is 13 cm, less than the diameter of a circle. What is the approximate area of the circle ?

(1) 225 sq. cm

(2) 265 sq. cm

(3) 255 sq. cm

(4) 275 sq. cm

(5) 245 sq. cm

9. The breadth of a rectangular field is 25 meters. The total cost of putting a grass bed on this field was Rs. 12,375 at the rate of Rs. 15 per meter². What is the length of the rectangular field?

(1) 37 meter

(2) 33 meter

(3) 32 meter

(4) 34 meter

(5) 30meter

10. The cost of putting a grass bed is Rs. 75 per sq. meter. The length of a rectangular field is 15 meter and the breadth is 4 meter less than the length. What will be the total cost of putting a grass bed on the field?

(1) Rs. 12,365

(2) Rs. 12,957

(3) Rs. 12,356

(4) Rs. 12,375

(5) None of these