Solve the Problem $240 \mathrm { yd } ^ { 2 }$

Multiple Choice

Solve the problem.
-A landscaping team plans to build a rectangular garden that is between $240 \mathrm { yd } ^ { 2 }$ and $360 \mathrm { yd } ^ { 2 }$ in area. For aesthetic reasons, they also want the length to be $1.2$ times the width. Determine the restrictions on the width so that the dimensions of the garden will meet the required area. Give exact values and the approximated values to the nearest tenth of a yard.

A) The width should be between $4 \sqrt { 15 } \mathrm { yd }$ and $6 \sqrt { 10 } \mathrm { yd }$ . This is between approximately $15.5 \mathrm { yd }$ and $19.0 \mathrm { yd }$ .
B) The width should be between $10 \sqrt { 2 } \mathrm { yd }$ and $10 \sqrt { 3 } \mathrm { yd }$ . This is between approximately $14.1 \mathrm { yd }$ and $17.3 \mathrm { yd }$ .
C) The width should be between $4 \sqrt { 30 } \mathrm { yd }$ and $12 \sqrt { 5 } \mathrm { yd }$ . This is between approximately $21.9 \mathrm { yd }$ and $26.8 \mathrm { yd }$ .
D) The width should be between $20 \mathrm { yd }$ and $10 \sqrt { 6 } \mathrm { yd }$ . This is between approximately $20.0 \mathrm { yd }$ and $24.5 \mathrm { yd }$ .