The area of a rectangular garden is 38 1/4 square meters. The width of the garden is 4 1/2 meters. Find the length of the garden.
I am completely confused on this problem and desperately need step by step instruction on this one.
Answer is 17 1/2
To find the length of the garden, we can use the formula for the area of a rectangle:
Area = Length x Width
Given that the area of the garden is 38 1/4 square meters and the width is 4 1/2 meters, let's solve step-by-step:
1. Convert the mixed numbers to improper fractions:
38 1/4 = (4 * 8 + 2)/4 = 33/4
4 1/2 = (2 * 2 + 1)/2 = 9/2
2. Substitute the given values into the formula for the area:
33/4 = Length x 9/2
3. Cross-multiply:
33/4 * 2 = Length * 9
4. Simplify:
33/2 = Length * 9
5. Divide both sides of the equation by 9:
(33/2) / 9 = Length
6. Simplify:
33/2 * 1/9 = Length
33/18 = Length
11/6 = Length
So, the length of the garden is 11/6 meters or approximately 1.83 meters.
To find the length of the rectangular garden, we can start by using the formula for the area of a rectangle:
Area = Length × Width
We are given the area of the garden, which is 38 1/4 square meters, and the width, which is 4 1/2 meters.
To make the calculation easier, let's convert the mixed numbers to improper fractions.
38 1/4 is equivalent to (38 × 4 + 1) / 4 = 153 / 4
4 1/2 is equivalent to (4 × 2 + 1) / 2 = 9 / 2
Now, we substitute the given values into the formula:
(Length) × (Width) = (Area)
Length × 9/2 = 153/4
To isolate the variable Length, we can multiply both sides of the equation by 2/9:
(Length) × 9/2 × 2/9 = (153/4) × (2/9)
Simplifying the equation gives:
Length = 34/3
Therefore, the length of the garden is 34/3 meters.
A = LW
38.25 = 4.5L
8.5 = L