Question

multiple choice 1 point the width, y, of a rectangle with a fixed area varies inversely with its length, x. the width is 3 inches when the length is 14 inches. find the width when the length is 30 inches. 0.71 inches 4.48 inches 6.43 inches 1.4 inches

Explanation:

Step1: Find the fixed - area

Since the area of a rectangle $A = xy$ and when $x = 14$ inches and $y = 3$ inches, the area $A=14\times3 = 42$ square inches.

Step2: Calculate the new width

We know $A = 42$ square inches and the new length $x = 30$ inches. Using the formula $y=\frac{A}{x}$, we substitute $A = 42$ and $x = 30$ into it. So $y=\frac{42}{30}=1.4$ inches.

Answer:

1.4 inches