Answer:
19.5m^2
Step-by-step explanation:
Ok so there are 2 ways to find the answer
1) Divide the trapezoid into 2 shapes and add their areas
here we see a triangle and a rectangle
First lets find the area of the triangle
we see that there is a 90* and there two other angles are the same cause their corners show that, that means that both the base and height are 3m
Area of triangle = (basexheight)/2 = (3x3)/2 = 9/2
Now we have the rectangle. We have our length and width, which are 5 and 3m.
Area of rectangle = length x width = 5x3 = 15
Now lets add both of the values together, 15+9/2 = 15+4.5 = 19.5
2) Apply direct trapezoid area formula
Area of trapezoid = ((Big base + small base)x height)/2
Big base:
we found that base of triangle is 3, and since length is 5, putting them together will give us the length of the big base which is 3+5 = 8
small base = 5
height = 3
Area = ((8+5)x3)/2 = (13x3)/2 = 39/2 = 19.5
Hope that answers your question