Question

addison made a scale drawing of a playground. now look at the relationship between the area of the scale drawing and the area of the actual playground. how many square yards are represented by 1 square inch? complete the equation to help you solve. scale width length area 1 yd = 1 yd 25 yd 40 yd 1,000 yd² 1 in² =? yd² 1 in = 5 yd 5 in 8 in 40 in² 40 • = 1,000 5³ 2² 2⁵ 5² 5⁴⁰

Explanation:

Step1: Identify the relationship

We know the area of the scale - drawing is 40 in² and the area of the actual playground is 1000 yd². We want to find out how many square yards are represented by 1 in². Let \(x\) be the number of square yards per square - inch. Then \(40x = 1000\).

Step2: Solve for \(x\)

To find \(x\), we use the formula \(x=\frac{1000}{40}\).
\[x = 25=5^{2}\]

Answer:

\(5^{2}\)