Question

The rectangle below has an area of 12y square meters and a width of 3y^3 meters. What is the length of the rectangle?

a) 3y^3
b) 12y
c) 4y
d) 4y^3

Length = ___________ meters

Answer 1

The length of the rectangle is 4 / y^2 meters.

Step-by-step explanation:

To find the length of the rectangle, we can use the formula for finding the area of a rectangle:

Area = length x width

Given that the area is 12y square meters and the width is 3y^3 meters, we can substitute these values into the formula:

12y = length x 3y^3

To solve for the length, we divide both sides of the equation by 3y^3:

12y / (3y^3) = length

Simplifying the equation, we get:

4 / y^2 = length

Therefore, the length of the rectangle is 4 / y^2 meters.