a landscaper is creating a rectangle flower bed such that the width is half the length.the area of the flower bed is 34 square feet.
and the question is...?
To solve this problem, we first need to establish some variables:
Let's say the length of the flower bed is 'L' feet.
According to the problem, the width of the flower bed is half the length. So, the width would be 'W' feet, where W = 0.5L.
To find the area of the rectangle flower bed, we use the formula:
Area = Length × Width
Since we know the area is 34 square feet, we can write the equation as:
34 = L × W
Substituting W with 0.5L:
34 = L × 0.5L
Now, we can solve this equation to find the length of the flower bed (L).
Multiply both sides of the equation by 2 to eliminate the fraction:
34 × 2 = L × 0.5L × 2
68 = L^2
Taking the square root of both sides:
√68 = √(L^2)
√68 = L
L ≈ 8.246 feet (rounded to three decimal places)
Therefore, the length of the flower bed is approximately 8.246 feet.
To find the width, substitute the length back into the equation for the width:
W = 0.5L
W = 0.5 × 8.246
W ≈ 4.123 feet (rounded to three decimal places)
Therefore, the width of the flower bed is approximately 4.123 feet.