The area of a rectangular parking lot is 8/45 square km. The length of the lot is 4/9 km. What is the width in km of the parking lot?
(8/45) = (4/9)x
Solve for x. Probably be easier to put fractions into decimals
To find the width of the rectangular parking lot, we can use the formula:
Area = Length × Width
Given that the area of the parking lot is 8/45 square km and the length is 4/9 km, we can substitute these values into the formula:
8/45 = (4/9) × Width
To solve for Width, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (4/9), which is (9/4):
(8/45) × (9/4) = (4/9) × (9/4) × Width
After simplifying, we get:
(8/5) = Width
Therefore, the width of the parking lot is 8/5 km.
To find the width of the parking lot, we can use the formula for the area of a rectangle:
Area = Length x Width
Given:
Area = 8/45 square km
Length = 4/9 km
We can substitute these values into the formula and solve for the width.
8/45 = (4/9) x Width
To solve for Width, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by (4/9).
(8/45) ÷ (4/9) = Width
To divide by a fraction, we can multiply by its reciprocal (flipped fraction).
(8/45) x (9/4) = Width
Multiplying the numerators together and the denominators together:
(8 x 9) / (45 x 4) = Width
72 / 180 = Width
Reducing the fraction:
Width = 2/5 km = 0.4 km
Therefore, the width of the parking lot is 0.4 km.
decimals will not necessarily always give an exact answer.
Also, since the data are given as fractions, the answer probably also should be.
x = 8/45 * 9/4 = 2/5