Answer :

guest129

Answer:

The height is 4in

Step-by-step explanation:

[tex]A=\frac{a+b}{2}*h \\40=\frac{9+11}{2} *h\\40=\frac{20}{2} *h\\40=10*h\\4=h[/tex]

40 = A

9 = a

11 = b

so if you substitute the variables in the equation for the numbers in the question, and then simplify, you will get the answer.

I hope this helps :)

Answer:

The height is 4 inches.

Step-by-step explanation:

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 = 9 inches

b = 11 inches

If It has an area of 40 inches² , then

40 = 1/2(9 + 11)h

Cross multiplying by 2, it becomes

40 × 2 = (9 + 11)h

80 = 20h

h = 80/20 = 4 inches

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