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 25 inches and its width is 45 inches, find the length of a rectangle with a width of 15 inches.
A) $\frac{3}{25}$ inches
B) 75 inches
C) $\frac{25}{3}$ inches
D) 27 inches

Question

Quizplus · Accepted Answer

The area of a rectangle is given by the formula $A = l \times w$, where $l$ is the length and $w$ is the width. If the area is fixed, then $l \propto \frac{1}{w}$, meaning $l = \frac{k}{w}$ for some constant $k$. Given $l = 25$ inches and $w = 45$ inches, we can find $k = 25 \times 45$. For a width of 15 inches, the length $l = \frac{25 \times 45}{15} = 75$ inches.

Solve the Problem 325\frac{3}{25}253​ Inches B) 75 Inches C) 253\frac{25}{3}325​ Inches D) 27 Inches

Solve the Problem $\frac{3}{25}$ Inches
B) 75 Inches
C) $\frac{25}{3}$ Inches
D) 27 Inches