Question

Solve for x by factoring​

Answer 1

Answer:

x = 5

Step-by-step explanation:

The area of the rectangle can be found by multiplying length x width:

Total Area = 55:

Length = x + 6

Width = x

Set the equation:

(x)(x + 6) = 55

First, distribute x to all terms within the parenthesis:

(x)(x + 6) = x² + 6x = 55

Next, set the equation equal to 0. Subtract 55 from both sides of the equation:

x² + 6x (-55) = 55 (-55)

x² + 6x - 55 = 0

Then, solve for x. Find factors of x² and -55 that, when combined, will result in 6x:

x² + 6x - 55 = 0

x              11

x            -5

(x + 11)(x - 5) = 0

Then, solve each individual parenthesis:

(x + 11) = 0

x + 11 (-11) = 0 (-11)

x = -11

(x - 5) = 0

x - 5 (+5) = 0 (+5)

x = 5

Note, however, that a side cannot have a negative measurement. Therefore, x = 5 is your only answer.

~