The length of the parallel sides of a trapezoid are 15 m and 25 m. If the perpendicular distance between the parallel sides is 10 m, what is the area of the trapezoid?

Respuesta :

Answer:

Area of trapezoid = 200 m²

Step-by-step explanation:

Parallel side1 a= 15m

Parallel side2 b= 25m

Perpendicular distance h = 10 m

We need to find area of the trapezoid.

The formula used to find area of the trapezoid is: [tex]Area \ of \ trapezoid=\frac{a+b}{2}h[/tex]

Putting values and finding area of the trapezoid:

[tex]Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2[/tex]

So, area of trapezoid = 200 m²