Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A rectangular garden covers $46 \mathrm { yd } ^ { 2 }$. The length is 3 yd longer than the width. Find the length and width. Round to the nearest tenth of a yard.
A) length $= 5.4$; width $= 8.4 \mathrm { yd }$
B) length $= 6.8$; width $= 9.8$ yd
C) length $= 8.4$; width $= 5.4 \mathrm { yd }$
D) length $= 9.8$; width $= 6.8 \mathrm { yd }$

Question

Quizplus · Accepted Answer

Let the width be $w$ yards. Then, the length is $w + 3$ yards. The area of the rectangle is given by the product of its length and width, so $w(w + 3) = 46$. Solving this quadratic equation, we find that $w \approx 5.4$ yards, and thus the length $w + 3 \approx 8.4$ yards.

Write the Word or Phrase That Best Completes Each Statement 46yd246 \mathrm { yd } ^ { 2 }46yd2

Write the Word or Phrase That Best Completes Each Statement $46 \mathrm { yd } ^ { 2 }$