Question

scale 1.5ft/1 unit

10 units x 10 units

1. what is the actual dimensions: set up a proportion and cross mutiply

2. perimeter

3. area

Answer 1

To find the actual dimensions, we can set up a proportion using the given scale.

Since 1 unit in the scale equals 1.5 ft, we can set up the proportion:

1 unit / 1.5 ft = 10 units / x ft

Cross-multiplying, we get:

1 unit * x ft = 1.5 ft * 10 units

x ft = 15 ft

Therefore, the actual dimensions are 15 ft x 15 ft.

To find the perimeter, we can add up all the sides of the 10 units x 10 units square.

Since each side is 15 ft, the perimeter is:

15 ft + 15 ft + 15 ft + 15 ft = 60 ft

The perimeter is 60 ft.

To find the area, we can multiply the length and width of the square.

Since both the length and width are 15 ft, the area is:

15 ft * 15 ft = 225 sq ft

The area is 225 sq ft.