Write the word or phrase that best completes each statement or answers the question.
-The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ftlonger than twice the width. Find the dimensions of the cubicle. Round to the nearest tenth, if necessary.
A)width = 9.7 ft, length = 22.4 ft
B)width = 4 ft, length = 11 ft
C)width = 2 ft, length = 9 ft
D)width = 3.9 ft, length = 9.7 ft

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, let the width be $w$ and the length be $l$. The diagonal is $l + 2$ and also $2w + 5$. Setting up equations: $l^2 + w^2 = (l + 2)^2$ and $l^2 + w^2 = (2w + 5)^2$. Solving these equations gives the dimensions as width = 9.7 ft and length = 22.4 ft.

Write the Word or Phrase That Best Completes Each Statement