Mensuration (2 D)
1. The length of a rectangular plot is thrice of its breadth. If the area of the rectangular plot is 7803 sq m, what is the breadth of the rectangular plot?
(1) 51 m
(2) 153 m
(3) 104 m
(4) 88 m
(5) None of these
2. Area of a rectangle is 252 cm^2 and its length and the breadth are in the ratio of 9 : 7 respectively. What is its perimeter?
(1) 64 cm
(2) 68 cm
(3) 128 cm
(4) 96 cm
(5) None of these
3. The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively. If the breadth of the plot is 34 m less than the length, what is the perimeter of the rectangular plot?
(1) 374 m
(2) 408 m
(3) 814 m
(4) 748 m
(5) None of these
4. The ratio fo length and breadth of a rectangular plot is 8 : 5 respectively. If the breadth is 60 m less than the length, what is the perimeter of the rectangular plot?
(1) 260 m
(2) 1600 m
(3) 500 m
(4) Cannot be determined
(5) None of these
5. Length of a rectangle is twice of its breadth. Area of the rectangle is 18 m^2. What would be its perimeter?
(1) 9 m
(2) 18 m
(3) 25 m
(4) 28 m
(5) None of these
6. The length of a rectangular floor is twice of its breadth. If Rs. 256 is required to paint the floor at the rate of Rs. 2 per square meters, then what would be the length of floor?
(1) 16 m
(2) 8 m
(3) 12 m
(4) 32 m
(5) 20 m
7. What will be the area (in square metre) of 1.5 m wide garden developed around all the four sides of a rectangular field having area equal to 300 sq m and breadth equal to three-fourths of the length?
(1) 96
(2) 105
(3) 114
(4) Cannot be determined
(5) None of these
8. The perimeter of a square is double the perimeter of a rectangle if the area of rectangle is 240 sq. cm. What is the area of the square?
(1) 100 sq cm
(2) 36 sq cm
(3) 81 sq cm
(4) Cannot be determined
(5) None of these
9. What would be the cost of building a fence around a square plot with area equal to 361 sq ft, if the price per foot of building the fence is Rs. 62?
(1) Rs. 4026
(2) Rs. 4712
(3) Rs. 3948
(4) Cannot be determined
(5) None of these
10. What is the area of a circle with circumference equal to 88 cm?
(1) 675
(2) 650
(3) 416
(4) 516
(5) 616
Answers
1. (1);
Let breadth=x,length=3x
x.3x=7803, x=51
2. (1);
9x.7x=252, x=2
primeter=2(18+14)=64
3.(4);
1=34, 6=204, 5=170
perimeter=2(204+170)=748
4.(5);
8-5=60, 1=20
8=160, 5=100
Perimeter=2(160+100)=520
5. (2);
x.2x=18, x=3
Perimeter=2(3+6)=18
6. (1);
Area=256/2=128
x.2x=128
x=8
Length=2X8=16
7. (3);
Let Length=x and breadth=3/4 x
x.3/4x=300
x=20
Area of garden=(20+3)(15+3) - 300
=144 m^2
8. (4);
9. (2); Length=(361)^1/2=19
Required cost=4X19X62=4712
10.(5); 2 pi. r=88
r=14
Area=pi.r^2
=22/7X14X14=616
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