Hey guys I am new around here, and I noticed that the forum categories seem to cater to much higher level maths than mine (yr10), so I think it should be fairly easy to help me ;3.

1)the sum of two numbers is 12 and the sum of their squares is 80. Find the numbers.

2)If a side of a rhombus is 3cm shorter than one of the diagonals and 1cm shorter than the other diagonal, find the length of a side of a rhombus.

3)A rectangle has an area of 224cm² . If the length was decreased by 1cm and the breadth increased by 1cm, the area would be increased by 1cm² . Find the length of the original rectangle.

I have many more similar questions to these, but if I could just get help answering these specific three, I could follow the formula/way and solve the other ones myself.

Thanks in advance guys!

Got the first one through guess check and improve, but I'd like to know how to actually do it. Would be nicer to know in case it popped up in a test in the future ;3