Answer:
the length of a side of the new square is 19.2 feet and it's perimeter is 76.8 feet and area is 368.64 feet².
Step-by-step explanation:
Given:
A square has a length of 4.8 feet. If the square is dilated by a factor of 4.
Now, to find the length of a side of the new square and the new shape's perimeter and area.
So, as given dilated by a factor 4 that means it is enlarged so we multiply the length with the dilated factor to get the length of a side of the new square.
Length of a side of the new square = 4.8 feet × 4 = 19.2 feet.
Now, to get the perimeter and area of the new shape we put the formula:
Perimeter = 4 × length
[tex]Perimeter = 4\times 19.2[/tex]
[tex]Perimeter = 76.8 feet[/tex]
Area = (length)²
[tex]Area = (19.2)^2[/tex]
[tex]Area = 368.64\ feet^2[/tex]
Therefore, the length of a side of the new square is 19.2 feet and it's perimeter is 76.8 feet and area is 368.64 feet².