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Answers
Step-by-step explanation:
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solution:-
given:-
1) area of rectangular park is 400m²
2) perimeter of rectangular park is 80m
hence,
area of rectangle = L * B
400 = L * B
L = 400/B .......(1)
perimeter of rectangle = 2(L+B)
80 = 2(L+B) ...... (a)
80 /2 = L + B
40 = L + B
L = 40 - B ......... (2)
B = 40 - L .......(3)
from (1) and (2)
400/B = 40-B
(40 - B ) * B = 400
40B - B² = 400
B - B² = 400/40 = 10
from (3)
40 - L - B² = 10
- L - B² = 10 - 40 = - 30
- (L + B²) = - 30
L + B*B = 30
L + B = 30/B .......(4)
put (4) in (a)
80 = 2 ( 30/B)
80 = 60/ B
B = 80/60 = 8/6 = 4/3 = 1.999
= 1.9 m .... (5)
put (5) in (1)
400 = L * 1.9
L = 400/ 1.9
L = 210.5263158 m
answer:- L = 210.5263158 m and
B = 1.99999 m = 1.9 m
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