Brainiest! ! the ratio of the base and height of a rectangle is 3 to 8. the perimeter of the rectangle is 138.6 cm. (6 points)
write and solve an equation to find the length of the base and height. be careful! there are 4 sides in a rectangle.

1.what is the length of the base?
2.what is the length of the height?
3.calculate the area of the rectangle.

B/h=3/8
8b=3h
8/3b=h
P=2(h+b)
P=138.6

138.6=2(h+b)
divide both sides by 2
69.3=h+b
suub (8/3)b for h
69.3=(8/3)b+b
times both sides by 3 to get rid of fraction
207.9=8b+3b
207.9=11b
divide both sides by 11
18.9=b

sub back

(8/3)b=h
(8/3)18.9=h
50.4=h

area=height times base
aera=50.4 times 18.9
aera=952.56 cm²

1. base=18.9 cm
2. height=50.4 cm
3. area=952.56 cm²

Hello,

Let's assume CD=h, BD=x.

tan 24°=h/x ==>h=x*tan 24°

tan 16°=h/(7600+x)==>h=tan 16° *(7600+x)

==>x tan 24°=tan 16°*(7600+x)
==>x=(7600*tan 16°)/(tan 24°-tan 16°)

h=x*tan 24= (7600*tan 16°*tan 24°)/(tan 24°-tan16°)

b) CD=h=6122,2303...≈6122 (feet)

a) BC=h/sin 24°=15052,0746448...≈15052 (feet)

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