The area of a rectangle is 3/5 square meter. The width is 2/5 meter. What is the length of the rectangle? How many times greater is the length that the width?
length = area/width = (3/5)/(2/5) = 3/2
length/width = (3/2)/(2/5) = 15/4
To find the length of the rectangle, we can use the formula for the area of a rectangle:
Area = length * width
Given that the area is 3/5 square meter and the width is 2/5 meter, we can substitute these values into the formula and solve for the length:
3/5 = length * 2/5
To solve for the length, we can rearrange the equation by multiplying both sides by 5/2:
(3/5) * (5/2) = (length * 2/5) * (5/2)
This simplifies to:
3/2 = length
Therefore, the length of the rectangle is 3/2, or 1.5 meters.
To determine how many times greater the length is than the width, we can divide the length by the width:
(3/2) / (2/5)
In division, we can multiply the numerator by the reciprocal of the denominator:
(3/2) * (5/2)
This simplifies to:
15/4
Therefore, the length is 15/4 times greater than the width.