Question

by decreasing each dimension by 1 unit, the area of a rectangle decreased from 60 square feet (on the left) to 45 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 $A_1 = 60$ square feet and the new area is $A_2=45$ square feet.

Step3: Substitute values into the formula

Percent decrease=$\frac{60 - 45}{60}\times100\%=\frac{15}{60}\times100\%$

Step4: Simplify the expression

$\frac{15}{60}\times100\% = 0.25\times100\%=25\%$

Answer:

$25$