George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck. If the deck is 14 feet long, how wide is the deck?
Mathematics · Middle School · Wed Jan 13 2021
Answered on
We need to convert the given information to meaningful mathematical equation.
Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means
perimeter of rectangle = 48 feet
Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.
perimeter of rectangle = 2 x(l + w)
We know "the deck is 14 feet long", which means...
L = 14 feet
Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.
2 x L + w = perimeter of rectangle
2 x (14 + w)= 48
48/2 = 14+w
14+w = 24
w= 10
Conclusion:
The width of the deck is 10 Feet