Question

this is a scale drawing of an actual farm. what percent of the farm is the vegetable garden? start by finding the area of the entire farm on the map. 50 cm 10 cm greenhouse 10 cm vegetable garden 20 cm

Explanation:

Step1: Calculate area of farm

The farm is a rectangle with length $l = 50$ cm and width $w = 20$ cm. Using the rectangle - area formula $A = l\times w$, we have $A_{farm}=50\times20 = 1000$ $cm^{2}$.

Step2: Calculate area of vegetable garden

The vegetable garden is a square with side - length $s = 10$ cm. Using the square - area formula $A=s^{2}$, we get $A_{garden}=10\times10 = 100$ $cm^{2}$.

Step3: Calculate percentage

The percentage $P$ of the farm that is the vegetable garden is given by the formula $P=\frac{A_{garden}}{A_{farm}}\times100\%$. Substituting the values, we have $P=\frac{100}{1000}\times100\% = 10\%$.

Answer:

$10\%$