Question

Solve the word problem. Complete Steps 1-2 in order.

The area of Bernie's porch can be represented by (x²-17x+60) ft².

1. Step 1: Find the dimensions of
the porch.
O (x-30) by (x+2) ft
O (x-5) by (x-12) ft
O (x+20) by (x-3) ft
O (x-20) by (x-3) ft

2. Step 1: Find the perimeter of
the room.
O(4x-34) ft
O (4x-56) ft
O (4x+34) ft
O (4x-46) ft

Answer 1

Step 1: Find the dimensions of the porch.

To find the dimensions of the porch, we need to factor the quadratic expression x² - 17x + 60 and then use the factors to determine the length and width of the porch. We can factor the expression as follows:

x² - 17x + 60 = (x - 12)(x - 5)

Therefore, the dimensions of the porch are:

Length = x - 5
Width = x - 12

So, the correct answer is:

O (x - 5) by (x - 12) ft

Step 2: Find the perimeter of the room.

To find the perimeter of the porch, we need to add up the lengths of all four sides. The length and width of the porch are x - 5 and x - 12, respectively, so the perimeter is:

2(x - 5) + 2(x - 12) = 4x - 34

Therefore, the correct answer is:

O (4x - 34) ft