A frame maker is hired by an art museum to make a special frame for a large rectangle painting. The painting is 3 times as long as it is tall.The expression 2(x+3x) represents the perimeter of the painting, where x represents the length of the short side of the painting in feet. What is the total feet of framing needed if the short side of the painting measures 2.6 feet?

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16-04-2020
Mathematics

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A frame maker is hired by an art museum to make a special frame for a large rectangle painting. The painting is 3 times as long as it is tall.The expression 2(x+3x) represents the perimeter of the painting, where x represents the length of the short side of the painting in feet. What is the total feet of framing needed if the short side of the painting measures 2.6 feet?

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ApusApus ApusApus · Answer 1 · 2020-04-20T16:39:57+02:00

We have been given that the painting is 3 times as long as it is tall.The expression [tex]2(x+3x)[/tex] represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.

To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute [tex]x=2.6[/tex] in our given expression.

We can simplify our expression as:

[tex]2(x+3x)=2(4x)[/tex]

[tex]2(4x)=2(4\times 2.6)[/tex]

[tex]2(4x)=2(10.4)[/tex]

[tex]2(4x)=20.8[/tex]

Therefore, a total of 20.8 feet of framing is needed.