You Have 200 Meters of Fencing to Enclose Two Adjacent $\frac { 5 \sqrt { 1375 } } { 2 }$

Multiple Choice

You have 200 meters of fencing to enclose two adjacent rectangular corrals. The total area of the enclosed region is 1000 square meters. What are the dimensions of each corral? (The corrals are the same size.)

A) $\frac { 5 \sqrt { 1375 } } { 2 }$ +25 meters by $\frac { 100 + 10 \sqrt { 1375 } } { 3 }$ maters
B) $\frac { 5 \sqrt { 1375 } } { 2 }$ +25 meters by $\frac { 100 - 10 \sqrt { 40 } } { 3 }$ maters
C) $\frac { 5 \sqrt { 1375 } } { 2 }$ +25 meters by $\frac { 100 + 10 \sqrt { 40 } } { 3 }$ maters
D) $\frac { 5 \sqrt { 40 } } { 2 }$ +25 meters by $\frac { 100 - 10 \sqrt { 40 } } { 3 }$ maters
E) $\frac { 5 \sqrt { 40 } } { 2 }$ +25 meters by $100 - \frac { 5 \sqrt { 40 } } { 2 }$ maters