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. the area of the entire farm is \square square cm.

Explanation:

Step1: Determine the dimensions of the farm on the map

From the diagram, the height of the farm (vertical side) is $50$ cm, and the width (horizontal side) is $20$ cm (since the vegetable garden's horizontal position and the overall width can be inferred as $20$ cm from the given $10$ cm and the layout, but actually looking at the diagram, the total width is $20$ cm? Wait, no, let's re-examine. Wait, the farm's shape: looking at the diagram, the total height is $50$ cm, and the total width is $20$ cm? Wait, no, maybe the farm is a rectangle with length $50$ cm and width $20$ cm? Wait, no, the vegetable garden is in a section with $10$ cm height and $10$ cm? Wait, no, the problem says "the area of the entire farm". Let's look at the diagram: the big rectangle (farm) has a height of $50$ cm and a width of $20$ cm? Wait, maybe the length is $50$ cm and the width is $20$ cm. Wait, no, let's check the vegetable garden: it's a square? No, the vegetable garden is a rectangle with height $10$ cm and width $10$ cm? Wait, no, the farm's dimensions: the vertical side (height) is $50$ cm, and the horizontal side (width) is $20$ cm. Wait, maybe the farm is a rectangle with length $50$ cm and width $20$ cm. Then the area of a rectangle is length times width.

Step2: Calculate the area of the farm

The formula for the area of a rectangle is $A = l \times w$, where $l$ is length and $w$ is width. Here, $l = 50$ cm and $w = 20$ cm. So $A = 50 \times 20$.
Calculating that: $50 \times 20 = 1000$ square cm. Wait, but maybe I misread the dimensions. Wait, looking again: the farm's height is $50$ cm, and the width is $20$ cm? Wait, the vegetable garden is at the bottom with $10$ cm height and $10$ cm? No, maybe the farm is a rectangle with height $50$ cm and width $20$ cm. Let's confirm: if the vegetable garden is in a $10$ cm by $10$ cm? No, the problem says "the area of the entire farm". Let's see, the diagram: the big rectangle (farm) has a height of $50$ cm and a width of $20$ cm (since the horizontal side from left to right is $20$ cm, as the vegetable garden is in a section with $10$ cm, but the total width is $20$ cm). So area is $50 \times 20 = 1000$? Wait, no, maybe the length is $50$ and the width is $20$? Wait, $50 \times 20 = 1000$? Wait, no, maybe the width is $20$ cm and height is $50$ cm. So $50 \times 20 = 1000$ square cm.

Wait, maybe I made a mistake. Let's check again. The farm's shape: the vertical side is $50$ cm, and the horizontal side is $20$ cm. So area is length times width, so $50 \times 20 = 1000$ square cm.

Answer:

$1000$