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lisabon 2012 [21]
3 years ago
6

A rectangle has a height of c^3+6c^2+2c and a width of c^2+1

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Answer:

A = c^5+6c^4+3c^3+6c^2+2c

Step-by-step explanation:

The dimensions of a rectangle are length and breadth/width

Here we are given height . Assuming it to be one of the side of the rectangle , we will do the further calculation

Hence one side is

side 1 = c^2+1

And the other side is

Side 2 = c^3+6c^2+2c

The area of rectangle = side 1 x side 2

A= (c^2+1) \times (c^3+6c^2+2c)

Distributing parenthesis

=c^2c^3+c^2\cdot \:6c^2+c^2\cdot \:2c+1\cdot \:c^3+1\cdot \:6c^2+1\cdot \:2c

=c^3c^2+6c^2c^2+2c^2c+1\cdot \:c^3+1\cdot \:6c^2+1\cdot \:2c

=c^5+6c^4+2c^3+c^3+6c^2+2c

adding similar terms

c^5+6c^4+3c^3+6c^2+2c

Hence Area is given by the above polynomial

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