Question

The height of a trapezoid is 4 in. And its area is 32 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.

Answer 1

base a=5

base b=11

Explanation:

a+b/2 * h= Area

so

a+b/2 *4

so

32/4

8*2

16

16-6

10

10/2

5

5+6

11

base a=5

base b=11

hope this helped! :)

Answer 2

Answer: the length of the bases are

5 inches and 11 inches

Explanation:

Let a represent the length of one of the bases. One base of the trapezoid is 6 inches longer than the other base. This means that the length of the other base is (x + 6) inches.

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = a

b = a + 6

h = 4 in

Area = 32 in²

Therefore,

32 = 1/2(a + a + 6)4

32 = 2(2a + 6) = 4a + 12

4a = 32 - 12 = 20

a = 20/4 = 5

b = a + 6 = 5 + 6

b = 11