Two square rooms have a total floor area of 230 m2, and one is 4 metres bigger each way than the other. Let the smaller room have a length x. Find the dimensions of the room.

Please explain your answer

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given