Question

two square regions have an area of 125 and 5 how many yards of fencing is needed to enclose? ( assume regions fenced separately)

Answer 1

`24√(5)\ yards`

Explanation:

Let A1 be the area of one square and A2 be the area of second square

So,

A1 = s^2

where s is side of square

`s^2=125\\√(s^2)=√(125)\\s=√(25*5)\\ s= √(5^2 * 5)\\ s= 5√(5)`

So side of one square is
`5√(5)`

To calculate the length of fence we need to find the perimeter of the square

So,

P1 = 4 * s

`=4*5√(5) \\=20√(5)`

For second square:

`A_2=s^2\\5=s^2\\√(s^2)=5\\{s}=√(5)`

The perimeter will be:

`P_2 = 4*s\\=4 * √(5) \\=4√(5)`

So the total fence will be: P1+P2

`= 20√(5)+4√(5) \\= 24√(5)\ yards`