High School

A rectangular advertisement is 144 inches wide and 42 inches long. A media company wants to create a billboard of the advertisement using a scale factor of 4.

**Part A:** What are the dimensions of the billboard, in feet? Show every step of your work.

**Part B:** What is the area of the billboard, in square feet? Show every step of your work.

Answer :

The dimensions of the billboard are 3 feet by 0.875 feet. The area of the billboard is 2.625 square feet.

To find the dimensions of the billboard in feet, we need to scale down the width and length of the advertisement by a factor of 4.

Width of the billboard in feet = (144 inches / 4) / 12 inches/foot = 3 feet

Length of the billboard in feet = (42 inches / 4) / 12 inches/foot = 0.875 feet

Therefore, the dimensions of the billboard are 3 feet by 0.875 feet.

To find the area of the billboard in square feet, we multiply the width and length of the billboard in feet.

Area of the billboard = width x length = 3 feet x 0.875 feet = 2.625 square feet

Therefore, the area of the billboard is 2.625 square feet.

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Answer:

Part A:

144 x 4 = 576 12 = 48 ft

so 48 ft is the width

42 x 4 = 168 12 = 14 ft

so the length is 14 ft

48ft by 14ft

Part B:

48 x 14 = 672 ft2

Step-by-step explanation:

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