Answer:
Width = 29.6 feet
Length = 48.6 feet
Area =719.28 square feet
Explanation:
Let width = x feet.
The width of the garden is 19 feet less than its total length, then length = x + 19 feet
Total fencing = 3 widths + 2 lengths
= 3x + 2(x + 19)
= 3x + 2x + 38
= 5x + 38
Total fencing = 186 feet, so
![5x+38=186\\ \\5x+38-38=186-38\\ \\5x=148\\ \\x=29.6\ feet\\ \\y=29.6+19=48.6 \ feet](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1qx3cj6dlhew9ryg61b6ee6y3dfg48m6kj.png)
Total area
![29.6* 48.6=1,438.56\ ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bkfb6i8ngmpt7wx99rn5p4mc03ya0pdbkr.png)
Half the area
![1,438.56\ ft^2 :2=719.28\ ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/htz74kww6nmeyt6z2ptd4opfib5b6i2thl.png)