Answer:
First composite: 30cm^2
Second composite: 18cm^2
Explanation:
Area for the first composite = l • w where l = length w = width
We will first need to break it into two pieces!
One piece can be a rectangle shape and another piece can be the square above the rectangle.
Solve for the area of the rectangle!
Area of the rectangle = L • 8
The length isn’t given but we see that the whole length is 5 and if we subtracted the length from the square we can actually get the missing length for the rectangle.
Length of the rectangle = (5 - 2)
Length of the rectangle = 3
Area of the rectangle = 3 • 8
Area of the rectangle = 24cm^2
Now solve for the area of the square!
Area = L • W
Area = 2 • 3
Area = 6
Finally add the area of the two shapes!
24 + 6 = 30cm^2
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Area for the second composite = L • W
Again, we’ll need to break it into two pieces. One piece would be the top rectangle, another piece would be the bottom rectangle.
Area for the top rectangle = 2 • 4
Area for the top rectangle = 8cm^2
Now solve for the area of the bottom rectangle!
Area for the bottom rectangle = 2 • 5
Area for the bottom rectangle = 10cm^2
Finally add the area of the two shapes!
8 + 10 = 18cm^2