Your dad is designing a new rectangular garden for your backyard he has 21 ft if fencing to go around the garden he wants the length of the garden to be 1 1/2 ft longer than the width how wide should he make the garden
Let's say the width of the garden is x ft.
Since the length is 1 1/2 ft longer than the width, the length will be x + 1 1/2 ft = x + 1.5 ft.
The perimeter of the rectangular garden is equal to the fencing available, which is 21 ft.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(Length + Width)
Therefore, 21 ft = 2(x + x + 1.5)
21 = 2(2x + 1.5)
21 = 4x + 3
Subtract 3 from both sides:
21 - 3 = 4x
18 = 4x
Divide by 4:
x = 4.5 ft
Therefore, the width of the garden should be 4.5 ft.