Question

this is a scale drawing of an actual park. what percent of the park is the playground? picnic area 20 in 16 in 5 in playground area

Explanation:

Step1: Calculate playground area

The playground is a rectangle with length $l = 16$ in and width $w = 5$ in. Using the rectangle - area formula $A = l\times w$, we have $A_{playground}=16\times5 = 80$ square inches.

Step2: Calculate park area

The park is a rectangle with length $L = 16$ in and width $W = 20$ in. Using the rectangle - area formula $A = L\times W$, we have $A_{park}=16\times20=320$ square inches.

Step3: Calculate the percentage

The percentage formula is $\text{Percentage}=\frac{A_{playground}}{A_{park}}\times100\%$. Substituting the values, we get $\frac{80}{320}\times100\% = 25\%$.

Answer:

25%