Question

A city planner makes a scale drawing of a new school. The school is 24 mm long in the drawing. The actual length of the school is 96 m long. What is the scale of the drawing?

Answer 1

Answer:

★ 4 meters ★

Step-by-step explanation:

Given:

• Length of school in drawing is 24mm
• Actual length of school is 96m

To Find:

• What is the scale of drawing?

Solution: To find the scale of drawing we will use Ratio method

★ Drawing length ( in mm) : 24

★ Actual length ( in m) : 96

• 24 : 96

★ Drawing length ( in mm) : 1

★ Actual length ( in m ) : x

• 1 : x

∴ 24/96 = 1/x

† By cross multiplication †

$\small\implies{\sf }$ 24x = 96

$\small\implies{\sf }$ x = 96/24= 4

Since,x represents actual scale therefore, 1mm represents 4 m

∴ Scale of drawing is 4 meters