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21 votes
21 votes
What is the area in polynomial form

What is the area in polynomial form-example-1
User Nima Ajdari
by
2.9k points

2 Answers

19 votes
19 votes

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}}

User Natan Braslavski
by
3.4k points
13 votes
13 votes

Answer:


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)