a social organisation decided to plant 100 plants in a rectangular park of dimensions 31 15m*4 40m to perform this - Maths - Surface Areas and Volumes

Question

a social organisation decided to plant 100 plants in a
rectangular park of dimensions 31 15m*4 40m to perform this
activity 2 types of plants were selected one plant covrd an area of
dia 56cm and the other type covrd an area of 35cm in dia the
uncovrd area is 4 times the covrd area
1)find the no of plants of each type?

Utsav · Accepted Answer

Dimensions of rectangular park = 31 15 m ×4 40 m
So area of rectangular park =31 15m×4 40 m =137 06 m2
Now the uncovered area = 4 times the covered area
Thus covered area = 137 065=27 412 m2
And uncovered area = 27 412 m2×4=109 648 m2
Let the number of plants which covered an area of diameter 56cm be
x
And number of plants which covered an area of diameter 35 cm be
y

So x+y =100 (given) (1)Now x×π×(0
56)24+y×π×(0 35)24=27 412 m2 (as area of a circle
in terms of diameter=πd24)⇒x×0 2464 +y×0
0962=27 412 m2 (2)solving (1) and (2) ,we get values more than 100
which cannot be possible So I think the data given in the question
is wrong However the method remains the same