The area of a rectangular garden is \(38 \frac{1}{4}\) square meters. The width of the garden is \(4 \frac{1}{2}\) meters. Find the length of the garden.
Please explain how you did this so I can understand it too.
Answer (3)
F or m u l a f or a re a o f rec t an g l e : A re a = w i d t h ∗ l e n g t h A re a = 38 4 1 = 4 153 m 2 w i d t h = 4 2 1 = 2 9 ∗ m 4 153 = 2 9 ∗ l e n g t h ∣ D i v i d e b y 2 9 4 153 ∗ 9 2 = l e n g t h l e n g t h = 2 17 = 8 , 5 m e t ers L e n g t h i s e q u a l t o 8 , 5 m e t ers .
To find the length of a rectangular garden when the area and width are known, you can use the formula for the area of a rectangle, which is length × width. In this case, the area given is 38 and 4 1 square meters, which is equivalent to 38.25 square meters. The width is 4 and 2 1 meters, equal to 4.5 meters.
Let's denote the length of the garden as L.
Using the formula for the area of a rectangle, which is Length × Width = Area, we can plug in the given values: L × 4.5 = 38.25.
Solving for L, we divide 38.25 by 4.5 to find the length of the garden, which is 8.5 meters.
The length of the rectangular garden is 8 2 1 meters after calculating the area using its width. This was done by converting mixed numbers to improper fractions and rearranging the area formula. Finally, the length was simplified to a mixed number format.
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