The height of a trapezoid is 6 in. and its area is 36 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
t are the lengths of the bases? Complete the explanation of how you found your answer.
1 answer:
Answer:
3 inches and 9 inches
Step-by-step explanation:
Area of a trapezoid is given by
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
b1 =b
b2 =b1+6 = b+6
h =6
A = 36
Substituting in what we know
36 = 1/2 (b+b+6)*6
Simplifying
36 = 3 (2b+6)
36/3 = 3/3 (2b+6)
Divide each side by 3
12 = 2b+6
Subtract 6 from each side
12-6 =2b+6-6
6 =2b
Divide each side by2
6/2 =2b/2
3=b
b1 =b =3
b2 =b1+6 = b+6 = 3+6 =9
One base is 3 and the other is 9
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