Question

Amit want to buy a rectangular field whose area is(3a square+ 5ab+ 2b square) sq. units one of its sides is (a+b) units find the length of the fence around the field

Answer 1

Given that area of a rectangular field is

A = 3a²+5ab+2b²

A = 3a²+3ab+2ab+2b²

A = 3a(a+b)+2b(a+b)

A = (a+b)(3a+2b)

Given that length of a rectangular field is (a+b). Hence another side is (3a+2b).