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The triangle and the trapezoid have the same area.Base b(two) is twice the length of base b( one).What are the lengths of the bases of the trapezoid? Triangle:- b=21 cm &h=6cm. Trapezoid:-h=6cm

Verified Answer :

jcherry99

Answer:

b2 = 14

b1 = 7

Step-by-step explanation:

Area_triangle = 1/2 b h

Area _trapezoid = (b1 + b2)h1/2

Since the areas of the two figures are the same, we get

1/2 b h = (b1 + b2)h1/2                 multiply both sides by 2.

bh = (b1 + b2) h1

b=21

h = 6

2b1 = b2

216 = (b1 + 2b1)6                             Divide by 6

21 = 3b1                                              Divide by 3

7 = b1

2b1 = b2

b2 = 14

esawyers2262009

Answer:

Answer:


b2 = 14


b1 = 7


Step-by-step explanation:


Area_triangle = 1/2 b h


Area _trapezoid = (b1 + b2)h1/2


Since the areas of the two figures are the same, we get


1/2 b h = (b1 + b2)h1/2                 multiply both sides by 2.


bh = (b1 + b2) h1


b=21


h = 6


2b1 = b2


216 = (b1 + 2b1)6                             Divide by 6


21 = 3b1                                              Divide by 3


7 = b1


2b1 = b2


b2 = 14

Step-by-step explanation:

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