Question

Farmer wishes to grow 100 square metre rectangular vegetable Garden since the has with him only 30 metre broad, wire. He faces three sides of the rectangular Garden letting compound wall of his house at as the fourth side. Hence find the dimensions of his Garden​

Answer 1

Step-by-step explanation:

l+l+b=30

2l+b=30

b=30-2l...eq1

useing perimeter formula

100=lb.....(2)

therefore,puting b value in eq2

100=l(30-2l)

100=30l-2l²

2l²-30l+100=0

2l²-20l-10l+100=0

2l(l-10)-10(l-10)=0

(2l-10)(l-10)=0

l=10/2 or l=10

put this value in eq 1 and get your answer