A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted.

Question

Mathematics

Makena Hood

2 May, 11:24

A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted.

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Answers (1)

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Purdy · Answer 1

Base: B=24-2x

Height = H=36-2x

Area of paper that can be painted: A=BH

A = (24-2x) (36-2x)

A=864-48x-72x+4x^2

A=4x^2-120x+864

Answer: The area of paper that can be painted is 4x^2-120x+864