Advertisements
Advertisements
Question
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]
Advertisements
Solution
Length of the rectangle = [20 − (3.5 + 3.5)] metres = 13 m
Circumference of 1 semi-circular part = πr `=(22/7 xx 3.5)m = 11 m`
Circumference of both semi-circular parts = (2 × 11) m = 22 m
Perimeter of the garden = AB + Length of both semi-circular regions BC and
DA + CD
= 13 m + 22 m + 13 m = 48 m
Area of the garden = Area of rectangle + 2 × Area of two semi-circular regions
`[(13xx7)+2xx1/2xx22/7xx(3.5)^2]m^2`
= `(91+38.5)m^2`
= `129.5 m^2`
RELATED QUESTIONS
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).
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 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).
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.
The diameter of a wheel of a bus is 90 cm which makes 315 revolutions per minute. Determine its speed in kilometres per hour. [Use 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.
The area of a parallelogram is 60 cm2 and one of its altitudes is 5 cm. The length of its corresponding side is ______.
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.)
Which of the following is an example of a closed figure?
