An architect makes a scale drawing of a proposed pool. The length of the actual pool is 78 feet, and the width is 42 feet. Suppose a scale of 0.5 inches = 6 feet was used. Which dimensions would be used on the scale drawing to represent the pool?
and how
(1 point)
Responses
Length: 9.2 inches, width: 5.5 inches
Length: 9.2 inches, width: 5.5 inches
Length: 8 inches, width: 4 inches
Length: 8 inches, width: 4 inches
Length: 6.5 inches, width: 3.5 inches
Length: 6.5 inches, width: 3.5 inches
Length: 4.5 inches, width: 7 inches
To find the dimensions used on the scale drawing to represent the pool, you need to divide the actual dimensions by the scale factor.
Length on scale drawing = 78 feet / 6 feet x 0.5 inches = 78 / 3 = 26 inches
Width on scale drawing = 42 feet / 6 feet x 0.5 inches = 42 / 3 = 14 inches
Therefore, the correct dimensions for the scale drawing of the pool would be:
Length: 26 inches, Width: 14 inches
So the closest option would be:
Length: 6.5 inches, Width: 3.5 inches
is this correct?
Apologies for the mistake in my previous response. Let's correct the calculations:
Length on scale drawing = 78 / 6 x 0.5 = 6.5 inches
Width on scale drawing = 42 / 6 x 0.5 = 3.5 inches
Therefore, the correct dimensions for the scale drawing of the pool are:
Length: 6.5 inches, Width: 3.5 inches
So, the correct answer is:
Length: 6.5 inches, Width: 3.5 inches
Thank you for catching that mistake!