Yani wants to make a scale diagram of the floor plan of his school. He wants his diagram to fit on an 8.5in. by 11in. sheet of paper. The school is 650ft long and 300 ft wide at its widest point.
a) what would be a reasonable scale for Yani to use so that his diagram will fit on the sheet of paper.
b) Assume that the school's floors plan is a rectangle.Draw a scale diagram using the scale you determined in park a)
Please show work! Thanks! Have a nice day!
I answered your first question.
http://www.jiskha.com/display.cgi?id=1375321148
a) To determine a reasonable scale for Yani to use, we need to consider the size of the actual school in comparison to the size of the sheet of paper.
The school is 650 ft long and 300 ft wide, while the paper is 8.5 inches wide and 11 inches long. We need to convert the paper measurements to feet to make a proper comparison.
1 foot = 12 inches
So, the width of the paper is 8.5/12 = 0.708 ft, and the length of the paper is 11/12 = 0.917 ft.
Now, we can divide the actual measurements of the school by the measurements of the paper to find the scale:
Width scale = 300 ft / 0.708 ft = 423.73
Length scale = 650 ft / 0.917 ft = 709.49
Since we need to fit both dimensions on the paper, we need to choose the smaller scale. In this case, the width scale is smaller, so Yani should use a scale of 1:424.
b) Now, let's draw the scale diagram using the 1:424 scale.
1. Start by drawing a rectangle on the sheet of paper to represent the school's floor plan. The length of the rectangle will be 11 inches, which corresponds to 709.49 ft according to the scale.
2. Then, mark the width of the school's floor plan on the rectangle. The width of the rectangle will be 8.5 inches, which corresponds to 0.708 ft according to the scale.
3. Finally, connect the corners of the rectangle with straight lines to complete the scale diagram of the school's floor plan.
Remember to label the dimensions and provide a key explaining the scale used in the diagram.
By following these steps, Yani will have created a scale diagram of the floor plan of his school using a 1:424 scale that fits on an 8.5in. by 11in. sheet of paper.
I hope this helps! Have a nice day too!