Calculate the Area and Perimeter of the following figures. The shaded boxes in the array are empty

Question

Answer 1

Hello Alexandria,

The idea for this type of questions is straightforward. We first identify the shape of the figure for which we need to calculate the Area and the Perimeter. Here, we can see it is the white-colored part after taking out the “hole” of shaded boxes.

To calculate the Area, we just use the entire Area minus the Area of the shaded part. Here, the entire Area is of 24 boxes. The Area of the shaded part is of 5 boxes. Hence, the Area asked about is 24-5 = ?? boxes. If we know the Area of each box, we can just multiply that number to get the specific number for the Area.

To calculate the Perimeter, we just add up all edges that around the shape of the figure. Here, there are two portions that make up the questioned figure, an outside portion (that around the entire 24 boxes), and an inner one (that around the 5 shaded boxes).

We can see that the outside portion for the Perimeter has 8 short sides and 12 long sides. We also see that the inner portion has 4 short sides and 8 long sides. We then add them up. We get (8+4) short sides and (12+8) long sides. Total is ?? short sides and ?? long sides?

Let’s say for each box the short side is 1, and the long side is 5. Then you can calculate the specific number fir the asked Perimeter.

Hope this helpful.