Question

Area of rectangular field 20 sq.Km perimeter of field is 18 km what is the length of longer side of field

Answer 1

Think of all the possibilities of the area to get 20:

4×5, 10×2

Think of all the possibilities of the perimeter to get 18:

2+2+7+7, 8+8+1+1, and 4+4+5+5

Which factors match in both area and perimeter? Yes, 4 and 5.

The longer side is the greatest number.

Answere= 5 km

Answer 2

Length of longer side is 5 km

Step-by-step explanation:

Let the length and breadth of field be x and y

Area of rectangular field = $Length \times Breadth = xy$

We are given that Area of rectangular field 20 sq.Km

So,$xy=20$---1

Perimeter of rectangular field =$2(length +Breadth)=2(x+y)$

We are given that perimeter of field is 18 km

So,$2(x+y)=18$

$x+y=9$---2

Substitute the value of x from 1 in 2

$\frac{20}{y}+y=9$

$\frac{20+y^2}{y}=9$

$20+y^2=9y$

$20+y^2-9y=0$

$(y-5)(y-4)=0$

So, y = 5,4

So, Length of longer side is 5 km

#learn more :

The length of a rectangular field is 21m longer than the breadth if tne area of field is196m2 then the length of the field is.......

https://brainly.in/question/12853036