Solve the equation and answer the question. 2(x + 200) + 2x = 1040 This is the equation that models the problem's conditions. 2x + 400 + 2x = 1040 Apply the distributive property. 4x + 400 1040 Combine like terms: 2x + 2x = 4x. 4x = 640 Subtract 400 from both sides. x = 160 Divide both sides by 4. Thus, width = x = 160. length = x + 200 = 160 + 200 = 360.

Elementary Algebra
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter2: Solving Linear Equations And Inequalities
Section2.6: Solve A Formula For A Specific Variable
Problem 429E: Solve the equation 5x2y=10 for x (a) when y=10 (b) in general (c) Which solution is easier for you,...
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Solve the equation and answer the question.
2(x + 200) + 2x = 1040
This is the equation that models the
problem's conditions.
2x + 400 + 2x = 1040
Apply the distributive property.
4x + 400
1040
Combine like terms: 2x + 2x = 4x.
4x = 640
Subtract 400 from both sides.
x = 160
Divide both sides by 4.
Thus,
width = x = 160.
length = x + 200 =
160 + 200 =
360.
Transcribed Image Text:Solve the equation and answer the question. 2(x + 200) + 2x = 1040 This is the equation that models the problem's conditions. 2x + 400 + 2x = 1040 Apply the distributive property. 4x + 400 1040 Combine like terms: 2x + 2x = 4x. 4x = 640 Subtract 400 from both sides. x = 160 Divide both sides by 4. Thus, width = x = 160. length = x + 200 = 160 + 200 = 360.
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