Check the picture below.
so, if we slap the bottom surplus to the empty area on the top, we can pretty much close off those squares above, that gives a solid area of at least a 4x5 square, the red part and the yellow part there, and that'd give us a perimeter of 4+4+5+5 = 20 at least.
we might also be able to augment the left-right sides together to close off those squares as well, but even if we did, our area will just be about a 4x6 or 24 square units.
A) is the area larger than 14 square units? ✔
B) is the area less than 35 square units? ✔
C) is the perimeter more than 16? ✔
The figure x has area greater than 14 square units and less than 35 square units and its perimeter is greater than 16 units.
The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc
Perimeter is the total length of the boundary of a closed figure. We know that the total length of the boundary of a plane closed figure is called its perimeter.
According to the question
The given figure X is irregular in shape made up of small square boxes
Where,
area of each square box = 1 square unit
Now,
Area of figure X:
Step1: To count the area of irregular shape Figure X
We will count the complete square boxes which is 15 in numbers .
Step 2: And rest not complete square boxes
Therefore ,
The area of Figure X is greater than 14 square units but less than 35 square units.
Perimeter of figure X:
To count the perimeter
Step1: As figure X is bigger than complete square boxes
So,
Its perimeter will also be greater than complete square boxes
Complete square boxes perimeter = 2(5+3)
= 16 units
Therefore ,
The perimeter of Figure X is greater than 16 units.
Hence, The figure x has area greater than 14 square units and less than 35 square units and its perimeter is greater than 16 units.
To know more about area and perimeter of any figure here:
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