Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of the shop to be the expression of 3x + 23 and the width to be 2x + 17. Write a trinomial that would represent the area of the shop. Show your work

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.

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