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

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.

b*h = (b1 + b2) * h1

b=21

h = 6

2*b1 = b2

21*6 = (b1 + 2*b1)*6                             Divide by 6

21 = 3*b1                                              Divide by 3

7 = b1

2*b1 = b2

b2 = 14