At a large nursery, a border for a rectangular garden is being built. Designers want the border's length to be 5 ft greater than its width. A maximum of 180 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
Help appreaciated thanks.
W=width
L=length
given:
L = W + 5
Maximum of 180 feet of fencing is available
So,
2L + 2W <= 180
Substitute the value for L and solve.
w=42.5
Answer is x<42.5 ft
Answer:
l<−w+90
At a large nursery , a border for a rectangular garden is being built Designers want the borders length to be 5 ft greater than its width . A maximum of 180 ft of fencing is available for the border . Write and solve an inequality that describes possible widths of the garden
To write an inequality that describes possible widths of the garden, we need to consider the relationship between the width and length of the border, as well as the total amount of fencing available.
Let's assume that the width of the garden is represented by the variable "w" in feet. According to the problem, the length is 5 ft greater than the width, so we can represent the length as "w + 5" feet.
To calculate the total amount of fencing required, we need to account for all four sides of the rectangular garden. The perimeter of a rectangle is given by the equation: perimeter = 2(length + width).
In this case, the perimeter should not exceed 180 ft, as that is the maximum amount of fencing available. So we can write the inequality as:
2(w + (w + 5)) ≤ 180
Simplifying the equation:
2w + 10 ≤ 180
Subtracting 10 from both sides:
2w ≤ 170
Dividing both sides by 2:
w ≤ 85
Therefore, the inequality that describes the possible widths of the garden is: w ≤ 85.
This means that the width of the garden should not exceed 85 ft in order to satisfy the conditions stated in the problem and use a maximum of 180 ft of fencing.