Advertisements
Advertisements
Question
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.
Advertisements
Solution
Area of the square plot = (25 m)2 = 625 m2
Area of the house = (15 m) × (20 m) =300 m2
Area of the remaining portion = Area of square plot − Area of the house
= 625 m2 − 300 m2 = 325 m2
The cost of developing the garden around the house is Rs 55 per m2.
Total cost of developing the garden of area 325 m2 = Rs (55 × 325)
= Rs 17,875
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]
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.
The inside perimeter of a running track (shown in Fig. 20.24) is 400 m. The length of each of the straight portion is 90 m and the ends are semi-circles. If track is everywhere 14 m wide, find the area of the track. Also, find the length of the outer running track.
Find the area of Fig. 20.25, in square cm, correct to one place of decimal. (Take π = 22/7)
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.
The length and breadth of the rectangular piece of land area in the ratio of 5 : 3. If the total cost of fencing it at the rate of ₹48 per metre is ₹19,200, find its length and breadth.
A wire is in the shape of square of side 20 cm. If the wire is bent into a rectangle of length 24 cm, find its breadth.
The length of an aluminium strip is 40 cm. If the lengths in cm are measured in natural numbers, write the measurement of all the possible rectangular frames which can be made out of it. (For example, a rectangular frame with 15 cm length and 5 cm breadth can be made from this strip.)
What defines a closed figure?
