Question

addison made a scale drawing of a football field. try again to find the scale for the scale drawing. one way you could solve is to look at the relationship between the width of the scale drawing, 5 inches, and the width of the original, 25 yards. just focus on this number: 5 multiplied by what number equals 25? that tells you how many yards are represented by 1 inch. chart: scale (1 in = yd, 1 yd = 1 yd); width (25 yd, 5 in); length (40 yd, 8 in); area (1000 yd², 40 in², 1 in² = ? yd²)

Explanation:

Step1: Find the scale factor for linear dimensions

We know that 5 inches on the drawing represents 25 yards in real. So, to find how many yards 1 inch represents, we divide 25 by 5.
$25\div5 = 5$
So, 1 inch = 5 yards (linear scale).

Step2: Find the scale factor for area

The area scale factor is the square of the linear scale factor. Since the linear scale factor is 5 (1 inch = 5 yards), the area scale factor is $5^2=25$. But we can also check with the given area values. The area on the drawing is 40 in² and real area is 1000 yd². So, $1000\div40 = 25$. So, 1 in² = 25 yd².

Answer:

For 1 inch = $\boldsymbol{5}$ yards (linear scale) and 1 in² = $\boldsymbol{25}$ yd² (area scale).