Question

Megan makes a drawing of a car using a scale of 3 cm : 2 m. The length of the car in her drawing is 6 centimeters. She redraws the car using a scale of 2 cm : 1 m. What is the length of the car in her new drawing?

Answer 1

Answer:

the length of the car in her drawing will be 8cm

Answer 2

Length of the car in her new drawing is 8 cm

Solution:

Given that,

Megan makes a drawing of a car using a scale of 3 cm : 2 m

Therefore,

3 cm : 2 m

The length of the car in her drawing is 6 centimeters

Let "x" be the actual length of car

3 cm : 2 m

6 cm : x

Solve by cross multiplying

$x \times 3 = 2 \times 6\\\\3x = 12\\\\x = 4$

Thus actual length of car is 4 meter

She redraws the car using a scale of 2 cm : 1 m

New scale is:

2 cm : 1 m

Let "x" be the length of the car in her new drawing

Therefore,

2 cm : 1 m

x : 4 m

Solve by cross multiplying

$2 \times 4 = 1 \times x$

x = 8

Thus length of the car in her new drawing is 8 cm

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