Question

What is the area in polynomial form

Answer 1

`\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

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

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 * x = x^2`

Area of pink rectangle:
`x * 9 = 9x`

Area of green rectangle:
`2 * x=2x`

Area of orange rectangle:
`2 * 9=18`

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

=
`x^2+9x+2x+18`

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