Question

Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet

Answer 1

Width = 8 feet

Length = 8 feet

Explanation:

Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.

Step

We find the Length and Width

This is done by factorising the area

Area = n² - 16n + 64 = 0

n² - 8n - 8n + 64 = 0

(n² - 8n) - (8n +64) = 0

n(n - 8) -8(n - 8) = 0

(n - 8) (n - 8) = 0

n - 8 = 0

n = 8

The length and width = 8 feet

Step 2

New length and width by extension is calculated as:

Width = 8 feet + 2 feet = 10 feet

Length = 8 feet + 2 feet = 10 feet