The width of a rectangular painting is 3inches more than twice the height .It is frames in a 2.5inches wide frames. what is the expression for the combined are of the painting and frame? Factorise the expression if it is possible..

Answer 1

w = 2h+3

total w = w+5
total h = h+5

A = (w+5)(h+5)
= w h + 5w + 5h + 25

= (2h+3)h + 5(2h+3) + 5h +25

= 2h^2 +3h +10h +15 +5h + 25

= 2h^2 + 18h + 40

= 2(h^2 + 9 h + 20)

=2(h+4)(h+5)