Question

What is the area in polynomial form

Answer 1

Answer:

$\orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}$

Solution :

• Area = lenght x width

Lenght = x + 9

Width = x + 2

$\sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}}$

Answer 2

Answer:

$x^2+11x+18\: \sf(square\:units)$

Step-by-step explanation:

To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.

Area of a rectangle = Length × Width

Area of blue rectangle:  $x \times x = x^2$

Area of pink rectangle:  $x \times 9 = 9x$

Area of green rectangle:  $2 \times x=2x$

Area of orange rectangle:  $2 \times 9=18$

Area of entire rectangle = blue + pink + green + orange

                                        = $x^2+9x+2x+18$

                                        = $x^2+11x+18\: \sf(square\:units)$