Question

A painting of a building is 1.25m wide by 70cm high. The best scale to compare the width to the height would be?

A. 1:1.8
B. 2:1
C. 1.8:1
D. 1:2

Answer 1

The best scale to compare the width to the height of the painting, after simplifying the ratio of the given dimensions, is 1.8:1.

Step-by-step explanation:

To find the best scale for comparing the width to the height of a painting, we need to calculate the ratio of the width to the height using consistent units. The painting is given as 1.25 meters wide (which is equivalent to 125 centimeters since 1 meter = 100 centimeters) and 70 centimeters high.

The ratio of the width to the height is thus 125 cm to 70 cm. Simplifying this ratio, we divide both numbers by 5:

• 125 cm ÷ 5 = 25
• 70 cm ÷ 5 = 14

This gives us a simplified ratio of 25:14. To make it easier to understand, we can divide both sides of the ratio by 14 to find a scale that compares one part width to x parts height:

• 25 ÷ 14 ≈ 1.8
• 14 ÷ 14 = 1

The best scale to compare the width to the height would therefore be 1.8:1, which corresponds to option C.