Question

Find the dimensions of rectangular park whose perimeter is 60 m and area 200 m square

Answer 1

Answer:

Step-by-step explanation:

perimeter=2[l+b]

2[l+b]=60

l+b = 30

b =30- l ..............1

area = lb

lb = 200

l [30-l] =200

30l-l²-200=0

l²-30l+200=0

l²-20l-10l+200=0

l[l-20]-10[l-20]=0

l=10                            or                         l= 20

when l is 10                                          when l is20

b=30-10                                                 b=30-20

b =20                                                     b =10