Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Round to the nearest hundredth. Rectangle topped by a semicircle
A rectangle topped by a semicircle. The rectangle has length 5 inches and width 4 inches. The semicircle has diameter of 4 inches.
a.
45.12 sq. in.
b.
21.57 sq. in
c.
32.56 sq. in.
d.
26.28 sq. in.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

where are the choices?

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