please this is one of my activities please help me
Answers
ANSWER:-
GIVEN:
_________
The diameter of the ends is:
AB=CD=14cm
BC=AD=28cm
TO FIND:
____________
Area of the flower bed
SOLUTION:
______________
AB=CD=14cm (breadth)
BC=AD=28cm (length)
so it's a rectangle.
The area of the ABCD is:
length × breadth
=28cm×14cm
=392 cm^2
the radius of 1st and 3rd semicircular ends is
=d/2
=14/2
=7cm
the area of both 1st and 3rd semicircular ends is equal.
the area is: 2(πr^2)
=2(3.14×(7cm)^2)
=2×3.14×49cm^2)
=2×153.86cm^2
=307.72cm^2
the radius of the 2nd and 4th semicircular ends is
=d/2
=28cm/2
=14cm
the area of the 2nd and 4th semicircular ends is equal.
the area is : 2(πr^2)
=2(3.14×(14cm)^2)
=2(3.14×196cm^2)
=2×615.44cm^2
=1230.88cm^2
the total area of the flower bed is
=the area of four semicircular ends + the area of ABCD
=(1230.88+307.72)cm^2 + 392cm^2
=1538.6cm^2 + 392cm^2
=1930.6cm^2
Hence the area of the flower bed is 1930.6cm^2.