Advertisements
Advertisements
Question
The length and breadth of a rectangular field are in the ratio 7 : 4. If its perimeter is 440 m, find its length and breadth. Also, find the cost of fencing it @ ₹150 per m.
Advertisements
Solution
Given : Perimeter = 440 m
Let the length of rectangular field = 7x and breadth = 4x
2(l + b) = Perimeter
2(7x + 4x) = 440m
2(11x) = 440m
22x = 440m
x =`440/22`
x = 20m
∴ Length = 7x = 7 x 20 = 140m
Breadth = 4x = 4 x 20 = 80m
Cost of fencing per m = ₹150
Cost of fencing 440 m = ₹150 x 440 = ₹66,000
APPEARS IN
RELATED QUESTIONS
A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]
A playground has the shape of a rectangle, with two semi-circles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground. (Take π = 22/7).
A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
The area of a parallelogram is 60 cm2 and one of its altitudes is 5 cm. The length of its corresponding side is ______.
The perimeter of a rectangle becomes ______ times its original perimeter, if its length and breadth are doubled.
Mukesh walks around a circular track of radius 14 m with a speed of 4 km/hr. If he takes 20 rounds of the track, for how long does he walk?
Which branch of mathematics deals with the measurement of length, area, volume, and surface area of geometric figures?
What defines a closed figure?
What is the part of the plane enclosed by a closed figure known as?
