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a scale drawing of a rectangular building is 4 inches wide and 5 inches long. the actual building is 240 yards wide. what is the area of the actual building in yards

User Jmoukel
by
7.1k points

1 Answer

5 votes

Answer:

72,000 yards

Explanation:

The scale factor can be found by doing:


240 / 4 = 60

This means that 60 is the scale factor. You can apply the scale factor to the length of the rectangular building, meaning that the length of the actual building is:


5 \cdot 60 = 300 yards

So, if the building is 240 yards wide, and 300 yards long. You can find the area of the actual building just like any other rectangle using:


A = l \cdot w

(Area = length * width)

So, the final answer is:


A = 300 \cdot 240\\ A= 72,000

This means that the area of the actual building is 72,000 yards.

User TCCV
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7.8k points