Question

A building has a height of 120
meters and a length of 90 meters. On a scale drawing of the building, the height is 15 centimeters.
What is the length of the building on the scale drawing in centimeters?
explain in 3 sentences using words 6th grade

Answer 1

First, we need to find the scale of the drawing by comparing the real height of the building to the height on the drawing. The real height is 120 meters, and the drawing height is 15 centimeters. We can see that 120 meters is the same as 12,000 centimeters, so we can set up a proportion to find the length: if 120 meters (or 12,000 cm) corresponds to 15 cm, then the length of the building (90 meters or 9,000 cm) will be 15 cm multiplied by the ratio of the lengths, which is 15 cm × (9,000 cm / 12,000 cm) = 11.25 cm. So, the length of the building on the scale drawing is 11.25 centimeters.