Question

Darius designed a billboard. The billboard is 480 inches long by 144 inches high. Darius uses a computer to design the billboard.

A)What is the percent decrease of the perimeter of the computer design from the billboard
B)What is the percent decrease of the area?

Answer 1

To find the percent decrease of the perimeter and area of the computer design from the billboard, calculate the difference and divide it by the original value, then multiply by 100.

Step-by-step explanation:

To find the percent decrease of the perimeter of the computer design from the billboard, we need to calculate the difference in perimeters and divide it by the original perimeter, then multiply by 100.

Step 1: Calculate the perimeter of the billboard. The perimeter is found by adding all four sides: 480 + 480 + 144 + 144 = 1248 inches.

Step 2: Calculate the perimeter of the computer design. The computer design is a rectangle, so we add the lengths of all four sides: 480 - 2h + 144 - 2h = 768 - 4h inches.

Step 3: Calculate the percent decrease. The percent decrease is calculated by dividing the difference in perimeters (1248 - (768 - 4h)) by the original perimeter (1248), then multiplying by 100.

Percent decrease = ((1248 - (768 - 4h)) / 1248) * 100

To find the percent decrease of the area, follow the same steps using the area formula (length x height) instead.

Percent decrease = ((480 * 144 - (480 - 2h) * (144 - 2h)) / (480 * 144)) * 100