MATH SOLVE

2 months ago

Q:
# The height of a trapezoid is 6 in. and its area is 72 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

Accepted Solution

A:

Formula

Area = (B1 + B2)*h/2

Area = 72 in²

B1 = x

B2 = x +6

h = 6 in

Substitute and Solve

Area = (x + 6 + x)*6/2 = 72 Divide by 2

Area = (2x + 6)*3 = 72 Remove the brackets

Area = 6x + 18 = 72 Subtract 18

6x = 72 - 18

6x = 66 Divide by 6

x = 66/6

x = 11

B1 and B2

Base 1 = 6

Base 2 = 12

Area = (B1 + B2)*h/2

Area = 72 in²

B1 = x

B2 = x +6

h = 6 in

Substitute and Solve

Area = (x + 6 + x)*6/2 = 72 Divide by 2

Area = (2x + 6)*3 = 72 Remove the brackets

Area = 6x + 18 = 72 Subtract 18

6x = 72 - 18

6x = 66 Divide by 6

x = 66/6

x = 11

B1 and B2

Base 1 = 6

Base 2 = 12