Answer:
<em>Scale factor=2</em>
<em>The perimeter of the enlarged figure is 19</em>
<em>The area of the enlarged figure is 4 times the area of the original figure</em>
Step-by-step explanation:
<u>Scaling</u>
There are two figures, the red rectangle (original) and the blue rectangle (enlarged).
To find the scale factor we directly compare the height of both rectangles and note:
height of original rectangle=1.5
height of enlarged rectangle=3
Thus, the scale factor is 3/1.5 = 2
Scale factor=2
The original perimeter is calculated as:
P1=2*1.5+2*3.25=3+6.5=9.5
The perimeter of the enlarged figure is 2 times the original perimeter
P2=2*9.5=19
The perimeter of the enlarged figure is 19
To calculate the area of the enlarged figure, we use
A2=H2*W2
Where H2 and W2 are the height and width of the enlarged figure.
Since
H2=2*H1
W2=2*W1
A2=4*A1
The area of the enlarged figure is 4 times the area of the original figure
