The area of a small rectangle is 1/4 square foot. The length is 2/3 foot. What is the width, in feet, of the rectangle?
(1/4) / (2/3)
(1/4) * (3/2) = 3/8
To find the width of the rectangle, we can use the formula for the area of a rectangle, which is given by length multiplied by width.
Given:
Area = 1/4 square foot
Length = 2/3 foot
Let's use algebra to solve for the width.
We know that Area = Length * Width, so we can write the equation as:
1/4 = 2/3 * Width
To solve for Width, we need to isolate it on one side of the equation by performing the inverse operations.
First, let's get rid of the fraction by multiplying both sides of the equation by 4 (the reciprocal of 1/4):
(1/4) * 4 = (2/3) * Width * 4
1 = (2/3) * Width * 4
Next, let's simplify the equation:
1 = (8/3) * Width
To isolate Width, we need to divide both sides of the equation by (8/3):
1 / (8/3) = (8/3) * Width / (8/3)
1 / (8/3) = Width
To divide by a fraction, we multiply by its reciprocal, so we can rewrite the equation as:
1 * (3/8) = Width
3/8 = Width
The width of the rectangle is 3/8 foot.