Question

this is a scale drawing of an apartment. the actual apartment has a perimeter of 160 ft. draw another scale drawing of the apartment using the scale 20 ft to 1 unit from the apartment to the drawing. explain your reasoning.

Explanation:

Step1: Determine the scale factor

The scale is 20 ft to 1 unit. This means for every 20 feet in real - life, it is represented as 1 unit on the drawing.

Step2: Calculate the perimeter in units

The actual perimeter is 160 ft. To find the perimeter in the drawing, divide the actual perimeter by the scale factor. So, $\frac{160}{20}=8$ units.

Step3: Draw the scale - drawing

Draw a shape (the apartment) with a perimeter of 8 units on the grid. For example, a rectangle with side lengths such that the sum of all sides is 8 units (e.g., a rectangle with length 3 units and width 1 unit: $2\times(3 + 1)=8$).

Answer:

Draw a shape with a perimeter of 8 units on the grid. The reason is that using the scale of 20 ft to 1 unit, a 160 - ft perimeter in real - life corresponds to 8 units in the scale drawing ($160\div20 = 8$).