We want to find the area of the given trapezoid. We can look at the trapezoid as a rectangle and a triangle to find the area. Remember to find the length of any unknown sides when breaking up the shape.
Now we can find the missing dimension of the triangle. The height is x yards and the base length is 8 yards. Let's find x!
10+ x= 13 ⇒ l x= 13- 10 x=3
We now have all the information we need to get the total area of the figure. First, let's think about the rectangle.
The length l of the rectangle is 10 yards and the width w is 8 yards. We can substitute these values into the formula for the area of a rectangle.
The area of the rectangle is 80 square yards. Next, we can look at the triangle.
The base for the triangle is 8 yards. The height of the triangle is 3 yards. We can substitute these values into the formula for the area of a triangle.
The area of the triangle is 12 square yards. Finally, let's add these two areas together to find the total area of the trapezoid.
Area of the Trapezoid
80+12=92square yards
