Complete question is;
The blueprint of a deck has a scale of 2 centimeters equals 9 feet.
A) What are the actual lengths of the sides of the deck?
B) Decking costs $1.75 per square foot. How much will it cost to build the deck?
Answer:
A) actual lengths are;
27 ft, 36 ft and 45 ft
B) cost of entire deck = $850.5
Explanation:
A) From the attached image, we see that the sides of the triangle deck are;
8cm, 10cm and 6 cm
Now, we know that 2cm represents 9 ft.
Thus;
8cm will be; 8 × 9/2 = 36 ft
10 cm will be; 10 × 9/2 = 45 ft
6 cm will be; 6 × 9/2 = 27 ft
Thus, actual lengths are;
27 ft, 36 ft and 45 ft
B) Area of deck is Area of triangle = ½ × base × height.
In this diagram, base = 6 cm = 27ft
Height = 8 cm = 36 ft
Thus;
Area of deck = ½ × 27 × 36
Area of deck = 486 ft²
We are told that the Decking costs $1.75 per ft²
Thus;
Cost of entire deck = 1.75 × 486 = $850.5