Answer:
The value of the variable=13 meters
Step-by-step explanation:
Step 1
Express the dimensions of the pool
Length=7+x
width=6
Step 2
Express the area of a rectangle as shown;
A=L×W
where;
A=area of a rectangle
L=length of the rectangle
W=width of the rectangle
In our case;
A=120 m²
L=x+7
W=6
replacing in the equation;
120 m²=(x+7)×6
120=6 x+42
6 x+42=120
6 x=120-42
6 x=78
x=78/6
x=13
The value of the variable=x=13 meters