Question

13 this is a scale drawing of a deck. the actual deck has a perimeter of 120 ft. draw another scale drawing of the deck using the scale 15 ft to 1 unit from the deck to the drawing. explain your reasoning

Explanation:

Step1: Calculate the scale factor

The scale is \(15\) ft to \(1\) unit.

Step2: Find the side - lengths of the new scale drawing

Since the actual perimeter is \(120\) ft, and the scale is \(15\) ft per unit. The number of units for the perimeter in the new scale drawing is \(\frac{120}{15}=8\) units.

Answer:

The new scale drawing will have a perimeter of \(8\) units. For example, if the original deck (in the first scale drawing) had side - length relationships, we can divide each actual side length by \(15\) to get the side lengths in the new scale drawing. For instance, if an actual side length is \(l\) (in feet), the side length in the new scale drawing \(s=\frac{l}{15}\) (in units). Then, using these new side - length values (based on dividing the actual lengths by \(15\)), we can draw the deck on a grid (assuming each unit is represented by a grid square).