Question

by decreasing each dimension by 1 unit, the area of a rectangle decreased from 50 square feet (on the left) to 36 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 $A_2=36$ square feet.

Step3: Substitute values into formula

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

Step4: Calculate the result

$\frac{14}{50}\times100\%=28\%$

Answer:

$28$