Question

1cm on a picture of a swimming pool represents 1200cm of the actual swimming pool. The length of the pictured swimming pool is 4.5cm and the width is 3cm. What is the perimeter of the actual swimming pool? Express your answer in meters.

Answer 1

180 meters

Explanation:

To find the perimeter of the actual swimming pool, you need to first find the length and width of the actual swimming pool by multiplying the length and width of the pictured swimming pool by the scale factor of 1200 cm.

• Length of actual swimming pool = 4.5 cm × 1200 cm = 5400 cm

• Width of actual swimming pool = 3 cm × 1200 cm = 3600 cm

• Perimeter of actual swimming pool = (5400 cm + 3600 cm) × 2 = 18000 cm.

Now that we know that the perimeter of the actual pool is 18000 centimeters, we need to convert that to meters! Keep in mind that:

• 100cm = 1m

Now we can divide 18000 by 100:

18000 cm ÷ 100 = 180 m

Therefore, the perimeter of the actual swimming pool is 180 m.