Advertisements
Advertisements
Question
A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
Advertisements
Solution
Perimeter of square = 4 (Side of the square) = 4 (60 m) = 240 m
Perimeter of rectangle = 2 (Length + Breadth)
= 2 (80 m + Breadth)
= 160 m + 2 × Breadth
It is given that the perimeter of the square and the rectangle are the same.
160 m + 2 × Breadth = 240 m
Breadth of the rectangle = `(80/2)m `= 40 m
Area of square = (Side)2 = (60 m)2 = 3600 m2
Area of rectangle = Length × Breadth = (80 × 40) m2 = 3200 m2
Thus, the area of the square field is larger than the area of the rectangular field.
RELATED QUESTIONS
Mrs. Kaushik has a square plot with the measurement as shown in the following figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2? (If required you can split the tiles in whatever way you want to fill up the corners).
An ant is moving around a few food pieces of different shapes scattered on the floor. For which food − piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression c = 2πr, where r is the radius of the circle.
A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in Fig. 20.23. If AB = 60 m and BC = 28 m, find the area of the plot.
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 length and the breadth of a rectangular plot are 135 m and 65 m. Find, its perimeter and the cost of fencing it at the rate of ₹60 per m.
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.
Which branch of mathematics deals with the measurement of length, area, volume, and surface area of geometric figures?
The interior of the rectangle, along with its boundary, is called the:
