A rectangular park has an area of 6 square miles. The width of the property is 3/8 the length of the property. What is the width of the property?
l = length
w = 3/8 l
A = lw
6 = l(3/8 l)
Solve equation for l
To find the width of the property, we need to set up an equation using the given information.
Let's assume the length of the rectangular property is represented by "L" and the width is represented by "W". We are given that the area of the park is 6 square miles, so we can write the equation:
Area = Length × Width
Substituting the given values, we have:
6 = L × W
We are also given that the width of the property is 3/8 the length of the property, which means:
W = (3/8) × L
Let's substitute this expression for width (W) in the equation we formed earlier:
6 = L × (3/8) × L
To solve this equation, we can multiply both sides by 8 to eliminate the fraction:
48 = 3L^2
Now we can divide both sides by 3 to isolate L^2:
L^2 = 48/3
L^2 = 16
Taking the square root of both sides, we find:
L = √16
L = 4
Now we can substitute the value of L = 4 back into our expression for W to find the width:
W = (3/8) × L
W = (3/8) × 4
W = 3/2
W = 1.5
Therefore, the width of the rectangular property is 1.5 miles.