To find the length of the rectangular garden, we can use the formula for the area of a rectangle, which is given by:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
In this problem, we are given:
- The width of the garden: [tex]\( 25 \, \text{feet} \)[/tex]
- The area of the garden: [tex]\( 1500 \, \text{square feet} \)[/tex]
We need to find the length of the garden. Let [tex]\( L \)[/tex] represent the length of the garden. From the formula for the area of a rectangle, we have:
[tex]\[ 1500 = L \times 25 \][/tex]
To isolate [tex]\( L \)[/tex], we can divide both sides of the equation by 25:
[tex]\[ L = \frac{1500}{25} \][/tex]
Now, we perform the division:
[tex]\[ L = 60 \][/tex]
Therefore, the length of the garden is:
[tex]\[ \boxed{60} \][/tex]
