QuestionWhat is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?
Studdy Solution
STEP 1
Assumptions1. The original scale drawing of the pool has the longest side of10 inches.
. Paco's new scale drawing has the longest side of5 inches.
3. We need to find the scale of Paco's new drawing.
STEP 2
First, we need to understand the concept of scale. The scale of a drawing is a ratio that compares the measurements of the drawing to the actual measurements. In this case, we know the scale of the original drawing, but we want to find the scale of Paco's new drawing.
STEP 3
We know that the longest side of the pool in the original drawing is10 inches, and this corresponds to a certain actual length in yards. In Paco's new drawing, the longest side of the pool is5 inches. Therefore, each inch in Paco's new drawing corresponds to twice the actual length that each inch in the original drawing does.
STEP 4
We can express this as a ratio. Let's denote the actual length that corresponds to1 inch in the original drawing as x yards. Then, in Paco's new drawing,1 inch corresponds to2x yards.
STEP 5
The original scale of the drawing is given as4 inches5 yards. This means that1 inch in the drawing corresponds to5/4 yards in reality.
STEP 6
Substitute the value of x from the original scale into the expression for the new scale.
STEP 7
Calculate the value of2x.
STEP 8
So, the scale of Paco's new drawing is1 inch2.5 yards.
aco's new drawing has a scale of1 inch2.5 yards.
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