The current length of a side of Mohammed's square flower garden is
meters. If he enlarges it by 3 meters, the new area will be 19 square meters more than the current area.
Let x be the current length of a side of Mohammed's square flower garden. The current area is

If he enlarges it by 3 meters, the new length of a side will be x + 3, and the new area will be

According to the given information, the new area is 19 square meters more than the current area:
![\[ (x + 3)^2 = x^2 + 19 \]](https://img.qammunity.org/2024/formulas/mathematics/college/yb7e3qnthzz6u2s4x74w2almrd5ix21kqe.png)
Expand and simplify the equation:
![\[ x^2 + 6x + 9 = x^2 + 19 \]](https://img.qammunity.org/2024/formulas/mathematics/college/ykuzfb1se44gkzsnrsq0c007bw10f0tmke.png)
Subtract
from both sides:
6x + 9 = 19
Subtract 9 from both sides:
6x = 10
Divide by 6:
![\[ x = (10)/(6) \]](https://img.qammunity.org/2024/formulas/mathematics/college/6inuugy55zx2r2andnere8rkauqfbs4yon.png)
Simplify the fraction:
![\[ x = (5)/(3) \]](https://img.qammunity.org/2024/formulas/mathematics/college/obt0cydfi9dkpkudhnotitg3zop9kon4l9.png)
So, the current length of a side of Mohammed's square flower garden is
meters.
The probable question may be:
Mohammed's flower garden is a square. If he enlarges 3m, the area will be 19m² more than the present area. Find the length of the side.