inspiration1sanillus inspiration1sanillus
  • 12-06-2021
  • Mathematics
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By decreasing each dimension by 2 units, the area of a rectangle decreased from 40 square feet (on the left) to 16 square feet (on the right). Find the percent decrease in area​

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reinhard10158
reinhard10158 reinhard10158
  • 12-06-2021

Answer:

60%

Step-by-step explanation:

40 ft² is 100%

so, 1% = 0.40 ft²

now we need to ask, how often did 1% fit into the 16 ft².

that means

16 / 0.4 = 16 / (4/10) = (16×10)/4 = 160/4 = 40 %

so, the new, smaller area is only 40% of the original area.

and that means, that the area decreased by 100-40 = 60%

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