Question

the square below is dilated by a scale factor of 2. Find the perimeter and area of the square below, as well as the perimeter and area of the dilated square. Figure are not necessarily drawn to scale. Help me please♀️♀️

Answer 1

Given:

Side Length of the original square, a = 11

Scale factor = 2

Let's find the perimeter and area of each square.

To find the area apply the formula:

$\text{Area}=a^2$

To find the perimeter of the square, apply the formula:

$Perimeter=4a$

Area of the smaller square:

$\text{Area}=11^2=11\ast11=121\text{ }$

Perimeter of the smaller square:

$\text{Perimeter}=4(11)=44$

To find the side length of the dilated square given a scale factor of 2, we have:

a = 2 x 11 = 22

The side length of each side of the dilated square is 22.

We have:

Area of the dilated square:

$\text{Area}=22^2=22\ast22=484$

Perimeter of the dilated square:

$\text{Perimeter = 4(22)=4}\ast22=88$

ANSWER:

Area of square = 121 square units

Perimeter of square = 44 units

Area of dilated square = 484 square units

Perimeter of dilated square = 88 units