Question

Find the area.The area is the figure is (x+2)(x+9) find another expression for this area by finding the sun of the areas od the smaller rectangles

Answer 1

Given

area is the figure is (x+2)(x+9)

Find

another expression for this area by finding the sum of the areas od the smaller rectangles

Explanation

as we have given figure ,

area of rectangle ACEG = Area of rectangle ABIH +Area of rectangle BCDI + Area of rectangle DEFI + Area of rectangle IFGH

as we know Area of rectangle = length * breadth

so , Area of rectangle ACEG =

$\begin{gathered} x\times x+x\times9+2\times x+2\times9 \\ x^2+9x+2x+18 \\ x^2+11x+18 \end{gathered}$

Final Answer

Therefore , the area of the figure =

$x^2+11x+18$