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

Respuesta :

texaschic101
18/24 = 63/x...18 width to 24 length = 63 width to x length
cross multiply
(18)(x) = (24)(63)
18x = 1512
x = 1512/18
x = 84 inches <===

The scale factor is 3.5 and the length of the banner is 84 inches. Then the correct option is A.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

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.

Then the scale factor will be

[tex]\rm S.F. = \dfrac{63}{18}\\\\S.F. = 3.5[/tex]

Then the length of the banner will be

[tex]\rm Banner \ length = S.F. \times 24\\\\Banner \ length = 3.5 \times 24\\\\Banner \ length = 84[/tex]

The length of the banner is 84 inches.

More about the dilation link is given below.

https://brainly.com/question/2856466

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