Answer:
48cm^2
Step-by-step explanation:
We are given some of the measurements of the piece of cardboard.
First, let's find the lengths of all the sides of the cardboard, as it will be easier to then find the area.
Going in clockwise order, from top to bottom, the dimensions are:
4cm, 7cm, 6cm, 2cm, 10cm, 9cm.
Now, we can easily find the area by using the formula BH=Area. Let's split the cardboard into sections that will be easier to find the area of. Say we split it in two, rather like a sneaker with the person wearing a sock showing at the ankle (I have strange explanations, I know).
To find the top part (the sock part) we can multiply 4 by 7 to get 28.
To find the shoe part, we can multiply 10 by 2 to get 20.
Finally, add these areas together to get the total area.
20 + 28 = 48
Another way to do this (if my sock and sneaker explanation was too chaotic for you) would be to imagine that the cardboard piece were an entire rectangle (ignore that chunk that has been cut out).
The area of that would be 90, from 9 by 10 as the side lengths. Then, from earlier, we know that the width and length of the chunk that has been cut out is 6 and 7, so the area that will be cut out is 42.
Subtract 42 from 90 to get 48.
