If the perimeter of a rectangle is 44 cm and the area is 117 square cm.What is the length and width?

2 answers

You know that perimeter is L + L + w + w and that is equal to 44
so your first equation is 44 = 2L + 2w
and your second equation is Area and your formula is L x W
So 117 = L x W is your second equation.
44 = 2L + 2w is your other equation : )
Now depending on the grade you are in you have multiple options for solving.
Option 1: re-arrange one of your equations for a variable (say L), then sub this into the other equation and solve for w.
This is called "substitution" if that rings a bell : )
Does that option help?
117 = 9*13 = 3*39
so, which pair of factors adds up to 22? (perimeter = 2*22)