What are the actual dimensions of the checkout area

The actual dimensions of the Check-out area are 25 m and 15 m

Step-by-step explanation:

* Lets explain how to solve the problem

- Look to the attached figure

- There is a drawing for the Floor plan of library

- The Floor plan of library has three areas Books , Study area and

  Check-out area

- The dimensions of the Study area are 2 cm and 4 cm

- The dimensions of Books area are 3 cm and 4 cm

- The dimensions of the Check-out area are (2 + 3) cm and (7 - 4) cm

∴ The dimensions of the Check-out area are 5 cm and 3 cm

- The scale of drawing is 1 cm : 5 m

∵ The scale drawing is the ratio between the drawing length and

   the actual length

∵ The terms of the ratio must have same units

∴ The terms of the scale drawing must have same units

∵ The scale drawing is 1 cm : 5 m

∵ 1 m = 100 cm

∴ 5 m  = 5 × 100 = 500 cm

∴ The scale drawing is 1 cm : 500 cm = 1 : 500

∵ The dimensions of the Check-out area are 5 cm and 3 cm

∵  1     :    500

   5    :    actual length

   3    :    actual width

- By using cross multiplication we can find the actual dimensions

∴ The actual length = (5 × 500)/1 = 2500 cm

∴ The actual width = (3 × 500)/1 = 1500 cm

∵ 1 cm = 1/100 m

∴ The actual length = 2500 × 1/100 = 25 m

∴ The actual width = 1500 × 1/100 = 15 m

∴ The actual dimensions of the Check-out area are 25 m and 15 m

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: