Solve the Problem by Using a Nonlinear System $1205 \mathrm{ft}^{2}$ And the Difference of Their Areas Is

Multiple Choice

Solve the problem by using a nonlinear system.
-A garden contains two square vegetable beds. Find the length of each bed if the sum of their areas is $1205 \mathrm{ft}^{2}$ and the difference of their areas is $147 \mathrm{ft}^{2}$ .

A) $26 \mathrm{ft}$ ; $23 \mathrm{ft}$
B) $1352 \mathrm{ft} ; 1058 \mathrm{ft}$
C) $7 \mathrm{ft} ; 7 \mathrm{ft}$
D) $37 \mathrm{ft}$ ; $33 \mathrm{ft}$