Question

Represent the perimeter of each quadrilateral with an expression in simplest form for the given values of x. Which quadrilateral has a greater perimeter if x = 3? Will this be true if x = 4?

Answer 1

To determine the perimeters of the quadrilaterals, substitute the value of x into the expressions for each quadrilateral's perimeter and compare. Repeat the process for another value of x.

Step-by-step explanation:

To represent the perimeter of each quadrilateral, we need to know the side lengths of the quadrilaterals in terms of x. Let's assume the first quadrilateral has side lengths of a, b, c, and d. The perimeter can be represented as P = a + b + c + d. Similarly, let's assume the second quadrilateral has side lengths of p, q, r, and s, and the perimeter is represented as Q = p + q + r + s.

If x = 3, substitute this value into the expressions for P and Q to find the perimeters of both quadrilaterals. Then compare the two perimeters to determine which one is greater. Repeat this process for x = 4 to determine if the same quadrilateral still has the greater perimeter.