Question

Bill is building a wrap-around deck on his house that measures 50 meters by 18 meters. He wants to add four meters to each side of the house for the deck. (a) What is the total length and total width of the house and deck? (b) What is the total area of the house and deck in square meters? (Hint: A= 14m 4m 4 m Bill's Blouse 9 m lw) 4 m 7 m A=lw

Answer 1

Given the information, we have the following rectangles:

notice that when we add four meters to each side, we have to add twice the value (since the 4m are on both sides of each side of the house), therefore, the total length and total width of the house and deck are 50+4+4=58m and 18+4+4=26m

The total area of the house and the deck is the following:

`A=(58m)(26m^{})=1508m^2`

therefore, the total area is 1508m²