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Joy made a scale drawing of a house and its lot. The backyard deck, which is 42 feet wide in real life, is 56 inches wide in the drawing. What scale did Joy use for the drawing?

Answer :

Final answer:

Joy's scale for the drawing of the house and its lot is approximately 0.111 inches per foot. This scale was determined by dividing the width of the deck in the drawing by the actual width of the deck.

Explanation:

To find the scale that Joy used for the drawing, we need to compare the size of the actual object with its size in the drawing. This is done by dividing the size of the deck on the drawing by the real size of the deck.

In this case, Joy's drawing of the deck is 56 inches wide and the actual deck is 42 feet wide. Before performing this calculation, ensure both measurements are in the same unit. There are 12 inches in a foot, therefore the real deck width in inches is 42 * 12 = 504 inches.

The scale is then determined by the equation Scale = Drawing/Actual. So the scale would be 56/504 = 0.111, approximately.

Therefore, the scale Joy used is approximately 0.111 inches per foot.

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