Question

Clara writes the equation (x – 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. what is the missing side length represented by x 8 units of the rectangle?

Answer 1

28 units

Explanation:

First, we are going to solve the equation to find the value ^^

Let's solve the equation step by step

Step 1. Use the distributive property to destroy the parenthesis

Step 2. Subtract 196 to both sides of the equation

Step 3. Factor the expression

Step 4. Set each factor equal to zero and solve

Since we are dealing with lengths here, and lengths cannot be negative, the only valid solution is 28.

Now, we know from our problem that the missing side of the rectangle is given by the expression , so to find the actual length, we just need to replace with 8 in the given expression and simplify!

We can conclude that the missing side length represented by x + 8 units of the rectangle is 28 units.