Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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?

Sagot :

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.

————————————————————————————————————————