Question

by decreasing each dimension by 3 units, the area of a rectangle decreased from 50 square feet (on the left) to 14 square feet (on the right). find the percent decrease in area. the percent decrease in area is □%.

Explanation:

Step1: Recall percent - decrease formula

Percent decrease = $\frac{\text{Original value}-\text{New value}}{\text{Original value}}\times100\%$

Step2: Identify original and new values

The original area of the rectangle is $A_1 = 50$ square - feet and the new area is $A_2=14$ square - feet.

Step3: Substitute values into the formula

Percent decrease=$\frac{50 - 14}{50}\times100\%=\frac{36}{50}\times100\%$.

Step4: Calculate the result

$\frac{36}{50}\times100\%=36\times2\% = 72\%$

Answer:

72