HELP PLZ Some days, Lacy runs one complete lap around a lake Other days, she runs one complete lap around a park The following diagram shows the dimensions of the lake and park on a coordinate grid. Please helppp A. A lap around the park is longer by about 25 m

B. A lap around the park is longer by about 13 m

C. A lap around the lake is longer than about 25 m

D. A lap around the park is longer by about 13 m

the correct answer is 5 6 and 7

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

the answer is b.

step-by-step explanation: