Final answer:
The student asked for the length of a rectangular garden with a width of 90 feet and a perimeter of 500 feet. To solve, we use the perimeter formula for a rectangle and determine the length to be 160 feet.
Step-by-step explanation:
The student is asking how to find the length of a rectangular garden given that its width is 90 feet and its perimeter is 500 feet. To solve for the length, we can use the formula for the perimeter of a rectangle:
P = 2l + 2w
where P stands for perimeter, l for length, and w for width. By plugging in the numbers we have:
500 = 2l + 2(90)
We first calculate the total width:
2(90) = 180 feet
Then we subtract it from the total perimeter:
500 - 180 = 320 feet
Last, we divide by 2 to find the length:
l = 320 / 2
l = 160 feet
The length of the garden is 160 feet.