A. 3m
B. 5m
C. 8.75m
D. 10m
Explanation:
Area of the field = (38 x 32)m2
Let the width of the path be x metres
Area with out path = (38-2x)(32-2x)m2
= 1216+4x2 -140x
Area of the path = 1216 –(1216 +4×2 -140x)
= 140x -4x2 140x -4x2 = 600
=> 4×2-140x +600 =0
=> x2 -35x +150 =0
=> (x-30)(x-5)=0
=> X =5 m
Related Mcqs:
- The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A. 31 m
B. 32 m
C. 16 m
D. 20 m - A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A. 675, Rs.1350
B. 575, Rs.1350
C. 1350, Rs.675
D. None - An agricultural field is in the form of a rectangle of length 20m and width 14m. A pit 6m long 3m wide and 2.5m deep is dug in a corner of the field and earth taken out of the pit is spread uniformly over. The remaining area of the field. The level of the field has raised by________?
A. 15.16cm
B. 16.17cm
C. 17.18cm
D. 18.19m - A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
A. 0.299 cm
B. 0.29 cm
C. 2.98 cm
D. 4.15 cm - A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it’s central part and grass has been grown in rest of the field. The area under the grass is____________?
A. 295m2
B. 299m2
C. 300m2
D. 375m2 - A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is__________?
A. 3.34
B. 2
C. 4.5
D. 5.5 - A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is________?
A. 11 m
B. 12 m
C. 13 m
D. 14 m - The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
A. 8.5 m
B. 17 m
C. 34 m
D. 51 m - The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be_________?
A. 15500Sq.m
B. 15400Sq.m
C. 15200Sq.m
D. 15300Sq.m - Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?
A. 85 miles
B. 70 miles
C. 50 miles
D. 120 miles