The plan of a terrace is 5in:2in.The scale is 2in:6ft.What are the length and the width of the terrace?Find the terrace's area.
5 in 2 in
---- = -----
2 in 6 in
The scale is 3ft/in, so the real-life dimensions are
15ft:6ft
The area is thus
(5in*2in)*(6ft/2in)^2
= 10*3^2 = 90 ft^2
How did you get the scale was 3 feet
Area 10
To find the length and width of the terrace, we can use the given scale. The scale tells us that 2 inches on the plan represents 6 feet in reality.
Let's start by finding the length of the terrace. The plan tells us that the length on the plan is 5 inches. Using the scale, we can set up a proportion:
2 inches (on the plan) / 6 feet (in reality) = 5 inches (on the plan) / x feet (in reality)
We can cross-multiply and solve for x:
2 inches * x feet = 5 inches * 6 feet
2x = 30
x = 15
So, the length of the terrace is 15 feet.
Now let's find the width of the terrace. The plan tells us that the width on the plan is 2 inches. Using the same proportions, we can find the width:
2 inches (on the plan) / 6 feet (in reality) = 2 inches (on the plan) / x feet (in reality)
Again, we can cross-multiply and solve for x:
2 inches * x feet = 2 inches * 6 feet
2x = 12
x = 6
So, the width of the terrace is 6 feet.
To find the area of the terrace, we simply multiply the length and width:
Area = Length * Width
Area = 15 feet * 6 feet
Area = 90 square feet
Therefore, the area of the terrace is 90 square feet.