A scale drawing of a kitchen is shown below. The scale is 1 : 20.
A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches.
Show your work to determine the area of the room in square feet
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
To determine the area of the room in square feet, you first need to convert the measurements from inches to feet. Given that the scale is 1 : 20, it means that every inch on the drawing represents 20 inches in real life.
To convert inches to feet, divide the measurement by 12 since there are 12 inches in a foot.
For the length of the rectangle:
4 inches ÷ 12 = 0.33 feet
For the width of the rectangle:
5 inches ÷ 12 = 0.42 feet
Now that we have the measurements in feet, we can calculate the area of the room in square feet. The formula for calculating the area of a rectangle is length multiplied by width.
Area = length × width
Area = 0.33 feet × 0.42 feet
Area = 0.1386 square feet
Therefore, the area of the room is approximately 0.1386 square feet.