Question

diego made a scale drawing of a football field. find the scale for the scale drawing of the football field using the table below. scale width length area 1 yd = 1 yd 30 yd 60 yd 1,800 yd² 1 in² =? in² 1 in = yd 10 in 20 in 200 in²

Explanation:

Step1: Find the ratio of lengths

We know that the actual length is 60 yd and the scaled - down length is 20 in. Let the scale be 1 in = \(x\) yd. Then we set up a proportion for the lengths. The proportion for lengths is \(\frac{1}{x}=\frac{20}{60}\).

Step2: Solve the proportion for \(x\)

Cross - multiply the proportion \(\frac{1}{x}=\frac{20}{60}\) to get \(20x = 60\). Then divide both sides by 20: \(x=\frac{60}{20}=3\).

Answer:

3