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PolarNik [594]
3 years ago
9

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? 7 15 20 28
Mathematics
2 answers:
tangare [24]3 years ago
9 0

First, we are going to solve the equation (x-13)(x+8)=196 to find the value of x.

Let's solve the equation step by step

Step 1. Use the distributive property to destroy the parenthesis:

(x-13)(x+8)=196

x^2+8x-13x-104=196

x^2-5x-104=196

Step 2. Subtract 196 to both sides of the equation:

x^2-5x-104-196=196-196

x^2-5x-300=0

Step 3. Factor the expression:

(x+15)(x-20)=0

Step 4. Set each factor equal to zero and solve for x:

x+15=0 or x-20=0

x=-15 or x=20

Since we are dealing with lengths here, and lengths cannot be negative, the only valid solution is x=20

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

Missing.Length=x+8

Missing.Length=20+8

Missing.Length=28 units

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

Maurinko [17]3 years ago
8 0

 The Answer is 28.



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?

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