Answer:
(a) F
(b) 30 in
(c) 26 in²
(d) count unit squares, or divide into rectangles and add
Explanation:
Given the coordinates of the points plotted in the attachment, you want to know the perimeter and area of the figure formed.
a) Letter
The figure formed is the block letter F.
b) Perimeter
The sum of the edge lengths is ...
8 + 5 + 2 + 3 + 1 + 2 + 2 + 2 + 3 + 2 = 30 . . . inches
30 inches of tape are required.
c) Area
Considering the line x=4, there is an 8×2 rectangle to its left, a 2×3 and a 2×2 rectangle to its right. The sum of their areas is ...
8×2 +2×3 +2×2 = 2(8 +3 +2) = 2(13) = 26 . . . . square inches
The area of the figure is 26 square inches.
d) How
If you read the above, you see we found the area by dividing the figure into three (3) rectangles. The area of the figure is the sum of their areas.
If you like, you can also count the grid squares. Each square is 1 in². In each column working from the left, their number is ...
8 + 8 + 4 + 4 + 2 = 26 . . . . square inches.
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Additional comment
It is easier to get the correct answers if you plot the given coordinates carefully.
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