Question

The length of a rectangle is 'x' cm more than its width, and the length, width, and perimeter are given. If the area of the rectangle is 50 square centimeters, what is the missing information or value 'x' that allows us to calculate the length and width of the rectangle?

Answer 1

The missing information needed to calculate the length and width of the rectangle is the value of 'x'. Setting up a system of equations using the given information and solving for 'x' will help find the dimensions of the rectangle.

Step-by-step explanation:

The missing information that allows us to calculate the length and width of the rectangle is the value of 'x', which represents the difference in length and width. We can set up a system of equations using the given information. Let's say the width of the rectangle is 'w' cm. According to the problem, the length of the rectangle is 'x' cm more than its width, so the length would be 'w + x' cm. The area of the rectangle is given as 50 square centimeters, so we can write:

w(w + x) = 50

From here, we can solve for 'x' and find the length and width of the rectangle.