Answer:
40 cm²
Step-by-step explanation:
[] We can break this shape up into a rectangle and a triangle.
-> See attached
[] First, we know that the sides of the rectangle will be 5 cm and 7 cm because they give us the sides.
-> Area of a rectangle is A = L * W where L is the length and W is the width
-> 5 cm * 7 cm = 35 cm²
[] Second, we know that the total length of the shape is 9 cm and the rectangle portion is 7 cm. Using subtract, we can find the height of the triangle to solve for the area
-> 9 cm - 7 cm = 2 cm (this is the height of our triangle)
-> The area of a triangle can be found by using [tex]\frac{base*height}{2}[/tex]
-> [tex]\frac{2*5}{2} =\frac{10}{2}=5^{2}[/tex]
[] Last, we can add the area of the rectangle and the triangle together to find the total area.
-> 35 cm² + 5 cm² = 40 cm²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
