We can start by setting up a proportion to solve for the longer length:
shorter length / longer length = 4 / 7
We know that the shorter length is 32 centimeters, so we can substitute that in:
32 / longer length = 4 / 7
To solve for the longer length, we can cross-multiply:
4 × longer length = 7 × 32
Simplifying the right side:
4 × longer length = 224
Dividing both sides by 4:
longer length = 56
Therefore, the longer length is 56 centimeters.