A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?

a.84 in.
b.18 in
c. 12.5 in.
d. 6.5 in.

Question

A picture of a school’s mascot is 18 in. wide and 24 in. long.  It is enlarged proportionally to banner size.  If the width is enlarged to 63 in., what is the length of the banner?

a.84 in.
b.18 in
c. 12.5 in.
d. 6.5 in.

nurali · Answer

Let the length of the banner be x.
The width of the mascot's picture compares to the width of the banner in the same way that the length of the pictures compares to the length of the banner.
18/63 = 24/x
18*x = 63*24
x = 63*24/18
x = 84 so the banner is 84 inches long.