Question

The question is on the sheet.​

Answer 1

area of the whole figure

`= (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^(2) + 3x + 2x + 3 \\ = {2x}^(2) + 5x + 3`

area of the unshaded region

`= x(2x) \\ = {2x}^(2)`

area of the shaded region

`= {2x}^(2) + 5x + 3 - {2x}^(2) \\ = ( {2x}^(2) - {2x}^(2) ) + 5x + 3 \\ = 5x + 3`

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3