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anonymous

  • one year ago

Jackie has 3 square tablecloths with each side equal to k units. For each piece, she does something different to it according to each part below: Part A: Jackie stitched rectangular strips of cloth along two adjacent sides of the tablecloth to increase its length and width by p units each. What will be the change in the area of the tablecloth? Show your work. (4 points) Part B: Jackie cut off rectangular strips from two adjacent sides of the tablecloth to decrease its length and width by p units each. What will be the change in the area of the tablecloth? Show your work. (3 points)

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  1. anonymous
    • one year ago
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    Part C: Jackie cut off a strip of cloth from one side of the tablecloth and pasted the strip on an adjacent side of the tablecloth to increase its length by p units and decrease its width by p units. What will be the change in the area of the tablecloth? Show your work. (3 points)

  2. anonymous
    • one year ago
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    can any one help

  3. welshfella
    • one year ago
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    |dw:1438272013768:dw|

  4. anonymous
    • one year ago
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    ok

  5. welshfella
    • one year ago
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    the area before strip = k^2 can you work out the area after?

  6. anonymous
    • one year ago
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    idk

  7. welshfella
    • one year ago
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    well they ask for the change in area so its the area of the 2 strips one has area k*p or kp the other has area p* (k + p) = p(k+p)

  8. anonymous
    • one year ago
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    ok im starting to get it'

  9. welshfella
    • one year ago
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    |dw:1438272295065:dw|

  10. welshfella
    • one year ago
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    = kp + p(k + p)

  11. welshfella
    • one year ago
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    we can simplify this to p^2 + 2kp

  12. anonymous
    • one year ago
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    why is it 2kp

  13. welshfella
    • one year ago
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    oh i got that last drawing wrong - ignore it kp + p(k + p) = kp + kp + p^2 = p^2 + 2kp

  14. anonymous
    • one year ago
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    ok

  15. welshfella
    • one year ago
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    |dw:1438272749401:dw|