Ann’s second option is rezoning two separate plots of land. One is square, and the other is triangular with an area of 32,500 square meters. For this second option, the total area would be 76,600 square meters, which can be represented by this equation, where x is the side length of the square park: x2 + 32,500 = 76,600.

Use the most direct method to solve this equation and find the side length of the square-shaped park. Explain your reasoning for both the solving process and the solution.

linear pair postulates

what is the answer?

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4