Help please!!! Ty to anyone who answeres

Mathematics

1 answer:

Alja [10]3 years ago

6 0

Answer:

Scale factor=2

The perimeter of the enlarged figure is 19

The area of the enlarged figure is 4 times the area of the original figure

Step-by-step explanation:

Scaling

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

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