A farmer's field has four equal sized plots in the arrangement below. The area of all four fields together is 24x2 + 100x + 100. All the fields are fenced in.

How much fencing is needed to fence all four plots?

i got 10.28 but that rounds up to 10.3

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus