Answer:
80in
Step-by-step explanation:
The scale factor of the dilation is 4, so a 1 inch by 1 inch square on the photograph represents a 4 inch by 4
inch square on the painting.
The height of the image is the product of the height of the preimage and the scale factor.
w=4(6)=24
in
.
The width of the image is the product of the width of the preimage and the scale factor.
h=4(4)=16
in
.
So, the perimeter is
P=2(16)+2(24)=80
in
.
The figure shows two rectangles. The larger rectangle is 16 inches long and 24 inches wide. The smaller rectangle is 4 inches long and 6 inches wide. The sides of the larger rectangle are parallel to the corresponding sides of the smaller one, respectively.
Therefore, the perimeter of the painting is 80
inches.
