Question

below is a scale drawing of the town swimming pool. in the drawing, the longest side of the pool has a length of 10 inches. paco creates a new scale drawing of the pool. in his drawing, the longest side of the pool has a length of 5 inches. what scale is paco’s new drawing? 2 inches : 5 yards 1 inch : 5 yards 1 inch : 2.5 yards 4 inches : 5 yards

Explanation:

Step1: Find original scale's real length

Original scale: \(2\) in. : \(5\) yd. Longest side in drawing: \(10\) in.
Real length = \(\frac{5\ \text{yd}}{2\ \text{in.}} \times 10\ \text{in.} = 25\) yd.

Step2: Determine new scale

New drawing longest side: \(5\) in. Scale = \(5\) in. : \(25\) yd. Simplify: \(\frac{5\ \text{in.}}{5} : \frac{25\ \text{yd}}{5}\) → \(1\) in. : \(5\) yd.

Answer:

B. 1 inch : 5 yards