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Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of a trapezoid is equal to half the sum of the bases.)

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meerkat18
We can calculate the area using the formula for the area of trapezoid:  
A = (1/2)(b1 + b2)*h  
Where (b1+b2)/2 is equal to median as stated in the problem.  
Therefore the area is:
A = Median * h
A = 8 * 6
A = 48 square inches  
isyllus

Answer:

The area of trpezoid is 48 in²

Step-by-step explanation:

The altitude is 6 inches and the median is 8 inches.

Median of trapezoid is half of sum of side of parallel side.

Let the length of parallel side be a and b

[tex]Median=\dfrac{a+b}{2}[/tex]

[tex]a+b=2\times median [/tex]

[tex]a+b=2(8)=16[/tex] inches

Altitude (h) = 6 inches

[tex]\text{Area pf trpezoid}=\frac{1}{2}(\text{sum of parallel side})h[/tex]

Area of trpzoid [tex]=\dfrac{1}{2}(16)(6)=48\text{ in}^2[/tex]

Hence, The area of trpezoid is 48 in²

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