Question

franklin made a scale drawing of a wrestling mat. find the scale for the scale drawing of the wrestling mat using the table below. table columns: scale, width, length, area. rows: 1st row - scale: 1 ft=1 ft, width: 40 ft, length: 30 ft, area: 1200 ft²; 2nd row - scale: 1 in=□ ft, width: 4 in, length: 3 in, area: 12 in². also, 1 in²=? in²?

Explanation:

Step1: Find the scale for length/width

We know that the actual width is 40 ft and the drawing width is 4 in. To find the scale (how many feet 1 inch represents), we divide the actual length by the drawing length. So, $40\div4 = 10$. So 1 in = 10 ft.

Step2: Verify with area (optional)

The actual area is 1200 $ft^2$ and the drawing area is 12 $in^2$. If 1 in = 10 ft, then 1 $in^2$ = $10\times10 = 100$ $ft^2$. Then the drawing area should represent $12\times100 = 1200$ $ft^2$, which matches the actual area. So the scale for 1 in (length/width) is 10 ft.

Answer:

10