The perimeter of a rectangle is 76 inches , the length is 2 more than 3 times the width. Wha is the answer?

Question

this is my math review and I need to study but I don't get it

Answer 1

Perimeter is 2(a+b) where a and b are the lengths of the sides of the rectangle. We are told a=3b+2, so:

2(3b+2+b)=76; 2(4b+2)=76; 2b+1=76/4=19.

So 2b=18 and b=9, therefore a=3*9+2=29.

The length and width are therefore 9 and 29 inches.

The area is 9*29=261 sq in.