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Question

Part 1
On the blueprints of their new​ home, Paul and Gretha notice the balcony is 7 inches long and 3 inches wide. They know that the actual balcony will be 8.4 ft long. How wide will the balcony​ be?

Answer 1

To find the width of the balcony, we will need to scale the dimensions from inches to feet, as 1 foot is equal to 12 inches.

First, we convert the length of the balcony from inches to feet:
7 inches = 7/12 ft = 0.583 ft

Next, we set up a proportion to find the width of the balcony:
0.583 ft / 3 inches = 8.4 ft / x
0.583 ft * x = 8.4 ft * 3 inches
x = (8.4 ft * 3 inches) / 0.583 ft
x = 43.2 inches / 0.583 ft
x ≈ 7.4 ft

Therefore, the width of the balcony will be approximately 7.4 feet.