Answer: The area of a rectangle is given by the formula: A = L x W
Where A is the area, L is the length and W is the width.
Given that the area of the rectangle is 32a^3b^4 square units, and the length is shown in the image, we can use the formula to find the width:
32a^3b^4 = L x W
To find the width, we need to divide both sides of the equation by L.
32a^3b^4 = L x W
W = 32a^3b^4 / L
As the length of the rectangle is given as 8a^2b^2, we can substitute it in the above equation to find the width of the rectangle
W = 32a^3b^4 / 8a^2b^2
W = 4ab^2
So the width of the rectangle is 4ab^2 square units.
We used the formula of the area of the rectangle and the given information of the area and length to find the width of the rectangle by isolating the width on one side of the equation.
Explanation: