Question

a basketball court is 94 ft long and 50 ft wide Ryan used long steps to estimate the length of the Court as 93 ft and a width as 48 what is the percent error of Ryan's measure area round to your nearest hundred

Answer 1

5.02%

Step-by-step explanation:

Percentage error formula = |(approximate value - Exact value)|/(exact value) × 100

Area of the court = length × width

length = 94 ft

width = 50 ft

Exact area = 94ft × 50 ft

Exact area = 4700 ft²

length = 93 ft

width = 48 ft

Approximate area = 93 ft × 48 ft

Approximate area = 4464 ft²

`\begin{gathered} \text{percent error = }\frac{4700}*\text{ 100} \\ \text{percent error = }(|-236|)/(4700)*100 \\ \text{percent error = }(236)/(4700)*100 \end{gathered}`
`\begin{gathered} \text{Percent error = }0.0502\text{ }*\text{ 100} \\ \text{Percent error = 5.02\%} \end{gathered}`