Question

In a scale drawing of a painting, 2 centimeters represents 7 inches.

The height of the real painting is 35 inches. What is the height of the painting in the scale drawing?

1. ngockhue
The height of the painting in the scale drawing is 10 centimeters if the height of the real painting is 35 inches given that in a scale drawing of a painting, 2 centimeters represents 7 inches. This can be obtained by using the ratio of scale drawing to the real drawing.

### Find the height of the painting in the scale drawing:

Here in the question it is given that,
• In a scale drawing of a painting, 2 centimeters represents 7 inches
• The height of the real painting is 35 inches
Thus we can say that, scale of the painting is 2 cm : 7 in
Ratio of scale drawing and real painting is 2 : 7
⇒ Similarly here height of the painting in the scale drawing to the height of the painting in the real drawing will be in the ratio 2 : 7.
We can say that,
2 cm/7 in = x cm/35 in
where x is the height of the painting in the scale drawing
2 cm × 35 in /7 in = x cm
x = 2 × 5 cm
x = 10 cm
Hence the height of the painting in the scale drawing is 10 centimeters if the height of the real painting is 35 inches given that in a scale drawing of a painting, 2 centimeters represents 7 inches.