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Whitepunk [10]
3 years ago
5

I’m trying to help my sister. I don’t know what to do.

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Area of the rectangle =2t^3+15t^2+19t+6.

Solution:

Given data:

Height of a rectangle = t^2+7t+6

Width of a rectangle = 2t+1

Area of the rectangle = height × width

                                   =(t^2+7t+6)\times(2t+1)

Multiply each term of height with the each term of width.

                                  =(t^2+7t+6)2t+(t^2+7t+6)1

                                  =(2t^3+14t^2+12t)+(t^2+7t+6)

                                  =2t^3+14t^2+12t+t^2+7t+6

Adding like terms of the polynomial.

                                  =2t^3+15t^2+19t+6

Therefore, Area of the rectangle =2t^3+15t^2+19t+6.

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