Question

Janine wants to place a patio around a garden as shown below. All the measurements are in ft. If l=x-5 feet, w=x-6 what is the area of the patio

Answer 1

• l=x-5
• w=x-6

So

Area

• Lw
• (x-5)(x-6)
• x(x-6)-5(x-6)
• x²-6x-5x+30
• x²-11x+30 ft²

Answer 2

Explanation:

A=l x w

You would set the formula up like this:

A = (x - 5)(x - 6)

To solve this you would distribute. Starting at the x in (x - 5), you multiply it by the x in the second pair of parentheses, giving you x^2. Then, multiply the first x by -6, which gives you -6x. Once you've multiplied that first x by everything in the second set of parentheses, you move on to the second term, -5. You now multiply -5 by x, giving you -5x. And lastly, multiply -5 by -6, giving you positive 30(two negatives make a positive).

At this point you have:

A = x^2 - 6x - 5x + 30

The next step is to add like terms, the only ones here being -6x and -5x, which gives you -11x:

A = x^2 - 11x + 30

Being your final answer

I hope this helps you :)