In this page quadratic equation practical solution3 we are going to see solution of practice question of the worksheet quadratic equation practical application.

Question 3:

A farmer wishes to start a 100 sq.m rectangular vegetable garden. Since he has only 30 m barbed wire, he fences the sides of the rectangular garden letting his house compound wall act s the fourth side fence. Find the dimension of the garden.

Solution:

Let “x” and “y” are the dimension of the vegetable garden

Area of rectangle = Length x width

x x y = 100

x = 100/y

We are going to cover the barbed wire for fencing only. So it must be the perimeter of vegetable garden. Usually perimeter always covers all the four sides. But here we are going to cover only three sides. Because one side of the vegetable garden will act as the compound wall.

x + x + y = 30

2 x + y = 30

2(100/y) + y = 30

(200/y) +  y = 30

(200 + y²)/y = 30

200 + y² = 30 y

y² - 30 y + 200 = 0

y² - 10 y – 20 y + 200 = 0

y (y – 10) – 20 (y – 10) = 0

(y – 10) (y – 20) = 0

y – 10 = 0     y – 20 = 0

y = 10          y = 20

Now we are going to apply these values in x = 100/y to get the values of x

If  y = 10                                            if y = 20

x =100/10                                            x = 100/20

x = 10 m                                               x = 5 m

Therefore the required dimensions are 10 m ,10 m  or 20 m , 5 m

Question 6     Question 7     Question 8     Question 9     Question 10 Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are:

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.” 