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]
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`
APPEARS IN
RELATED QUESTIONS
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 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 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 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.
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 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.)
