Width = X Ft.
Length = 3X/2 Ft.
Area = (3x/2) * X = 15,000 Ft^2
Multiply both sides by 2:
3x * x = 30.000
3x^2 = 30000
x^2 = 10000
X = 100 Ft^2.
3x/2 = (3*100)/2 = 150 Ft^2
Length = 3X/2 Ft.
Area = (3x/2) * X = 15,000 Ft^2
Multiply both sides by 2:
3x * x = 30.000
3x^2 = 30000
x^2 = 10000
X = 100 Ft^2.
3x/2 = (3*100)/2 = 150 Ft^2
Let's assume the length of the yard is 3x and the width is 2x. Now we can set up an equation to find the value of x.
Area of the yard = Length × Width
15000 ft^2 = (3x) × (2x)
15000 ft^2 = 6x^2
To solve for x, divide both sides of the equation by 6:
15000 ft^2 / 6 = x^2
2500 ft^2 = x^2
Taking the square root of both sides, we get:
x = √2500
x = 50
Now that we have the value of x, we can substitute it back into the expressions for length and width to get the actual dimensions of the yard:
Length = 3x = 3 × 50 = 150 ft
Width = 2x = 2 × 50 = 100 ft
Therefore, the dimensions of the yard are 150 ft by 100 ft.