Perimeter = 252 = 2 Width + 2 Length
Length > Width (duh ;)
Length= Width +2 ( 2 consecutive even integer)
Linear equations:
2 length + 2 width = 252
length - width = 2 ===> length = 64 feet width = 62 feet
Answer:
Dimensions of the rectangular deck are 64 feet × 62 feet.
Step-by-step explanation:
Let the length of the rectangular deck = l ft
And the width of the rectangular deck = w ft
Since width and length of the deck are two consecutive even integers,
so, l = w + 2
Now perimeter of the rectangular deck has been given = 252 ft
Then by the formula,
Perimeter = 2 (length + width)
252 = 2(l + w)
252 = 2[w + (w + 2)]
252 = 2(2w + 2)
252 = 4(w + 1)
w + 1 = [tex]\frac{252}{4}[/tex]
w = 63 - 1
w = 62 ft
Sine l = w + 2
l = 62 + 2
l = 64 ft
Therefore dimensions of the deck are 64 feet × 62 feet.
