A new ice cream shop draws a design for its shop sign that is 4 inches wide and 9 inches long. A sign building company builds a sign of the design using a scale factor of 15.
Part A: What are the dimensions of the sign, in feet? Show every step of your work.
Part B: What is the area of the sign, in square feet? Show every step of your work.
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Part A: To find the dimensions of the sign in feet, we need to divide the dimensions of the original design (4 inches and 9 inches) by the scale factor of 15.
Width of the sign in feet: 4 inches / 15 = 0.2667 feet
Length of the sign in feet: 9 inches / 15 = 0.6 feet
Part B: To find the area of the sign in square feet, we multiply the width and length of the sign.
Area of the sign in square feet: 0.2667 feet * 0.6 feet = 0.16 square feet.