Math

QuestionWhat is the area of a logo scaled from 1 inch by 1 inch to a shirt size using a scale of 1:81:8?

Studdy Solution

STEP 1

Assumptions1. The original logo is square-shaped with a size of1 inch by1 inch. . The scale from the original logo to the shirt is18.

STEP 2

First, we need to find the size of the logo on the shirt. We can do this by multiplying the original size by the scale factor.
Sizeshirt=SizeoriginaltimesScalefactorSize_{shirt} = Size_{original} \\times Scale\, factor

STEP 3

Now, plug in the given values for the original size and scale factor to calculate the size of the logo on the shirt.
Sizeshirt=1inchtimes8Size_{shirt} =1\, inch \\times8

STEP 4

Calculate the size of the logo on the shirt.
Sizeshirt=1inchtimes8=8inchesSize_{shirt} =1\, inch \\times8 =8\, inches

STEP 5

Now that we have the size of the logo on the shirt, we can find the area of the logo on the shirt. Since the logo is square-shaped, we can calculate the area by squaring the size.
Areashirt=Sizeshirt2Area_{shirt} = Size_{shirt}^2

STEP 6

Plug in the value for the size of the logo on the shirt to calculate the area.
Areashirt=(8inches)2Area_{shirt} = (8\, inches)^2

STEP 7

Calculate the area of the logo on the shirt.
Areashirt=(inches)2=64squareinchesArea_{shirt} = (\, inches)^2 =64\, square\, inchesThe area of the logo on their shirts is64 square inches.

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