Question

A square has a length of 4.8 feet. If the square is dilated by a factor of 4 , what is the length of a side of the new square? What is the new shape's perimeter and area

Answer 1

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.

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

`Perimeter = 4* 19.2`

`Perimeter = 76.8 feet`

Area = (length)²

`Area = (19.2)^2`

`Area = 368.64\ feet^2`

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.