Answer:
Triangle = 20 square units
Rectangle = 30 square units
Whole figure = 50 square units
Step-by-step explanation:
Let's start with the rectangle since it's simpler to solve.
The formula for the area of a rectangle is:
A = lw
We know that the length is 3 and the width is 10. So, we can substitute:
A = lw
A = (3)(10)
A = 30 square units
The area for the rectangle is 30 square units.
Now, let's find the area for the triangle. The area of a triangle is:
A = [tex]\frac{1}{2}[/tex]bh
We know that our base is 10. As for the height, we know that the height of the total figure is 7 and the height of the rectangle is 3. So, when we subtract 3 from 7, we can guess that the height of the triangle is 4.
A = [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex](10)(4)
A = 20 square units
The area for the triangle is 20 square units.
Now, we add both areas to find the area of the total figure:
30 + 20 = 50 square units.
The area for the whole figure is 50 square units.
Hope this helps!