Solve the problem.
-If the area of a rectangle is fixed, the length of the rectangle varies inversely as the width. If the length of a rectangle is 20 inches and its width is 45 inches, find the length of a rectangle with a width of 25 inches.
A) 36 inches
B) $\frac{100}{9}$ inches
C) $\frac{9}{100}$ inches
D) $\frac{225}{4}$ inches

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $ \text{length} \times \text{width} $. For two rectangles with a fixed area, if one has dimensions 20 inches (length) by 45 inches (width), and another has a width of 25 inches, we can set up a proportion based on the inverse relationship: $ 20 \times 45 = \text{new length} \times 25 $. Solving for the new length gives $ \text{new length} = \frac{20 \times 45}{25} = 36 $ inches.

Solve the Problem 1009\frac{100}{9}9100​ Inches C) 9100\frac{9}{100}1009​ Inches D) 2254\frac{225}{4}4225​ Inches

Solve the Problem $\frac{100}{9}$ Inches
C) $\frac{9}{100}$ Inches
D) $\frac{225}{4}$ Inches