A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
Choose the correct choice from the following answers.
A) 10 m * 5 m B) 15 m * 5 m C) 20 m * 5 m D) 25 m * 5 m E) None of these
Explanation:   From the question, 2b+l = 30   =&gt; l = 30-2b   Area=100m2=&gt;l×b=100=&gt;b(30−2b)=100b2−15b+50=0=&gt;(b−10)(b−5)=0   Area=100m2   =&gt;l×b=100   =&gt;b(30−2b)=100   b2−15b+50=0   =&gt;(b−10)(b−5)=0   b = 10 or b = 5   when b = 10 then l = 10   when b = 5 then l = 20   Since the garden is rectangular so we will take value of breadth 5.   So its dimensions are 20 m * 5 m   Option 20 m * 5 m
<result>C</result>
A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.