Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 89 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)
A.
24,871.94 in2
B.
279.46 in2
C.
12,435.97 in2
D.
6,217.99 in2

the answer is D

B : 279.46 ( 24871.94 ÷89)

= 279.46 good for the hot tub

(B) 279.46

yor answer is 7/6 times 5

step-by-step explanation:

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