Answer:
532 m^2
Step-by-step explanation:
This figure can be broken up into simple shapes. You can break it up in different ways.
Here's 1 way:
1 square (top)
1 triangle (bottom by combining the 2 smaller triangles into 1 larger triangle)
The square on top has a side of 18 m.The largest triangle on the bottom has a base of 18 m + 8 m = 26 m, and a height of 16 m.
Now that we have the side of the square and the base and height of the triangle, we can find the areas and add them up.
Square:
area = (side)^2 = (18 m)^2 = 324 m^2
Triangle:
area = (base)(height)/2 = (26 m)(16m)/2 = 208 m^2
Total Area = 324 m^2 + 208 m^2 = 532 m^2
Answer: 532 m^2
Here are two other ways of solving this:
1) One square, two triangles
Add the areas of:
square at the top, 18 m side
lower left triangle, 18 m base and 16 m height
lower right triangle, 8 m base, 16 m height
2) One trapezoid, one triangle
Add the areas of:
trapezoid at the left, 34 m base, 18 m base, 18 m height
lower right triangle, 8 m base, 16 m height
