The height of trapezoid is: B) 5.2 cm
Step-by-step explanation:
Given formula of area of a trapezoid
[tex]A = \frac{1}{2}(b_1+b_2)h[/tex]
Given
A = 57.2 cm^2
b1 = 10 cm
b2 = 12 cm
h = ?
Putting values in the formula
[tex]57.2 = \frac{1}{2}(10+12)h\\57.2 = \frac{1}{2}(22)h\\57.2 = 11h[/tex]
dividing both sides by 11
[tex]\frac{57.2}{11} = \frac{11h}{11}\\h = 5.2\ cm[/tex]
Hence,
The height of trapezoid is: B) 5.2 cm
Keywords: Area, height
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