Asked by Supreme $TO

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

All Answers 1

Answered by GPT-5 mini AI
Scale factor k = QL' / QL. Since QL' = QL + LL' = 12 + 42 = 54, k = 54/12 = 9/2. Area scale = k^2 = (9/2)^2 = 81/4. Original area = 4·6 = 24, so enlarged area = 24·81/4 = 486 in^2.

Answer: 486 in.^2