A parallelogram has a height of 7 meters and an area of 35 square meters. what would the sum of the bases be for a trapezoid with the same height and area as the parallelogram?

Respuesta :

The height of trapezoid is h = 7 m.

The area of trapezoid is A = 35 m^2.

The formula for the area of trapezoid is,

[tex]A=\frac{a+b}{2}\cdot h[/tex]

Here, a and b are length of bases of trapezoid.

Substitute the values in the formula to obtain the sum of bases of trapezoid.

[tex]\begin{gathered} 35=\frac{a+b}{2}\cdot7 \\ \frac{a+b}{2}=\frac{35}{7} \\ a+b=5\cdot2 \\ =10 \end{gathered}[/tex]

So sum of bases of trapezoid is equal to 10 meters.

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