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A Trapezoid Has One Base Of 10cm, Height Of 7cm And Area Of 56 Sq Cm. What Is The Length Of The Second Base (in Cm)?

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Katie Harry Profile
Katie Harry answered
The formula of the area of a trapezoid is:
Area=a[(b1+b2)/2]
Where:
b1= first base
b2= second base
a=height
In the question we are given that:
b1=10
a=7
Area=56
Plugging in these values in the formula to obtain b2:
Area=a[(b1+b2)/2]
56=7[(10+b2)/2]
Expanding:
56=[70+7b2]/2
shifting 2 to the other side:
56*2=70+7b2
112=70+7b2
112-70=7b2
Subtracting:
42=7b2
dividing:
b2=42/7
So:
b2=6
So the length of the second base is 6 cm

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