An artist wants to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting. A. if x is the length of one side of the painting what equation can you set up to find the length of a side? Part B. solve the equation you wrote in part A. How many solutions does the equation have? Part ç. do all of the solutions that you found in part b make sense in the context of the problem? Part D. what is the length of the wood trim needed to go around the painting?

Question

Mathematics

Carrot

6 February, 04:48

An artist wants to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting. A. if x is the length of one side of the painting what equation can you set up to find the length of a side? Part B. solve the equation you wrote in part A. How many solutions does the equation have? Part ç. do all of the solutions that you found in part b make sense in the context of the problem? Part D. what is the length of the wood trim needed to go around the painting?

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Answers (1)

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Priscilla Lowery · Answer 1

The formula for the area of a square with sides of length x is A = x2 so

x2 = 400 is the equation

This equation has 2 solutions, namely x = ±√400 = + 20 or - 20

The negative solution does not make sense because a length cannot be less than 0.

The total length needed to go around the painting is the perimeter of the square, which is

P = 4*x = 4*20 = 80 inches