Question

Amit built a sand castle that measured 600 centimeters by 600 centimeters, and dug a moat around it.

Afterward, he decided to change the castle size, making it 8 meters by 6 meters.

How much longer will the new moat be than the old one?

Answer 1

4 meters longer.

Explanation:

Amit built a sandcastle that measured 600 cm by 600 cm i.e. 6 meters by 6 meters.

Therefore, its perimeter is 2(6 + 6) = 24 meters

Now, afterward, he decided to change the castle size, making it 8 meters by 6 meters.

Therefore, its perimeter is 2(6 + 8) = 28 meters

Therefore, the perimeter of the new castle is increased by (28 - 24) = 4 meters.

If Amit dug a moat around his castle then the new moat will be 4 meters longer than the old one. (Answer)

As the moat is dug around the castle, its length will be the same as the perimeter of the castle.