Final answer:
To find the dimensions of the rectangle, set up an equation with variables representing the width and length. Solve the equation to find the possible values of the width. Add 3 to each width value to find the corresponding length. The dimensions are width cm and length cm.
Step-by-step explanation:
To find the dimensions of the rectangle, we can set up the given information using variables. Let's say the width of the rectangle is x cm. Since the length is 3 cm more than the width, the length would be x + 3 cm.
The formula for the area of a rectangle is length times width. So, we can set up the equation (x + 3) * x = 70.
Next, we can solve the equation by expanding and rearranging terms: x^2 + 3x - 70 = 0. We can solve this quadratic equation using factoring, completing the square, or the quadratic formula to find the possible values of x. Once we find the value(s) of x, we can find the corresponding length by adding 3 to each width value.
So, the dimensions of the rectangle would be x cm and (x + 3) cm.