Point Q is the center of dilation. Rectangle L M N P is dilated to form rectangle L prime M prime N prime P prime. Side L M is 4 inches and side M N is 6 inches. The length of Q L is 12 and the length of L L prime is 42.

Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?
24 in.2
108 in.2
224 in.2
486 in.2

Question

contestada

Respuesta :

AFOKE88 AFOKE88 · Answer 1 · 2022-07-14T08:11:23+02:00

The area of the enlarged picture on the wall is gotten as; D: 486 in²

The formula for Linear scale factor is;

L.S = Image distance/object distance

Thus, from the attached image, we can find the Linear scale factor as;

L.S = OL'/OL

L.S = 54/ 12

L.S = 9/2

Area scale factor is equal to the square of linear scale factor. Thus;

Area scale factor = (9/2)²

Area scale factor = 81/4

Now,

81/4 = Area of larger rectangle/Area of smaller rectangle

Area of the smaller rectangle = 4 ×6 = 24 in²

Thus;

Area of enlarged picture on wall = (81/4) × 24

Area of enlarged picture on wall = 486 in²

Read more about Center of Dilation at; https://brainly.com/question/3457976

#SPJ1