Question

A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing?

Answer 1

The drawing of the lake has the scale of 1 centimeter to 80 meters.

Now, the actual width of the scale is of 1000 meters.

To find out the width of the lake on the drawing we need to convert the actual length as per the scale drawing.

Since we know that in the given scale drawing we have,

1 centimeter = 80 meters

Or we can say that

80 meters = 1 centimeter

1 meter = $\frac{1}{80}$ meter

Now, 1000 meters should be equivalent to

$\frac{1}{80} \times 1000=12.5$ centimeters.

Therefore, the width of the lake on the scale drawing is 12.5 centimeters.