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anonymous

  • one year ago

please help this is my first post The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method. A. width = 10 cm, length= 14 cm B. width = 10 1/2 cm, length= 14 1/2 cm C. width = 11 cm, length= 15 cm D. width = 23 cm, length= 27 cm

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  1. Vocaloid
    • one year ago
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    let W = width L = length perimeter = 2(L+W) L = W + 4 do you think you can take it from here?

  2. anonymous
    • one year ago
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    no i dont understand any of this lol thats why im a senior retaking algebra one

  3. Vocaloid
    • one year ago
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    well, to find the perimeter of a rectangle, we add the width and length, then multiply everything by 2, so perimeter = 2(L+W) make sense so far?

  4. anonymous
    • one year ago
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    yes that makes sense

  5. Vocaloid
    • one year ago
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    ok, the problem also tells us that "length is 4 more than the width" so L = W + 4, make sense so far?

  6. anonymous
    • one year ago
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    yes

  7. Vocaloid
    • one year ago
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    great, now let's put them together and go from there perimeter = 50 = 2(L+W) L = W + 4 now, the second equation tells us that we can replace "L" with "W+4" whenever we see L, so we can plug that into the first equation, giving us: 50 = 2(L+W) = 2(W + 4 + W) with me so far?

  8. anonymous
    • one year ago
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    kinda

  9. Vocaloid
    • one year ago
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    well, the second equation tells us that "length" is the same as "width+4" so we can replace "length" with "width + 4". the reason why we do this is to make all the letters in the first equation the same, so we can find width 50 = 2(W + 4 + W) we can put W + W together to get 2W, which gives us 5= 2(2W+4), with me so far?

  10. anonymous
    • one year ago
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    yes im with you

  11. Vocaloid
    • one year ago
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    ok, so we have 50 = 2(2W+4) we can divide both sides by 2 to get 25 = (2W+4) do you think you can solve for W now?

  12. anonymous
    • one year ago
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    i think i got it

  13. Vocaloid
    • one year ago
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    ok, give it a shot and tell me what W is I'll guide you if you get stuck

  14. anonymous
    • one year ago
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    ok i have no idea

  15. Vocaloid
    • one year ago
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    no worries 25 = (2W+4) subtract 4 from each side, what do you get?

  16. anonymous
    • one year ago
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    wait is the answer D

  17. Vocaloid
    • one year ago
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    nope, not D, please try the problem with me 25 = (2W+4) subtract 4 from both sides of the equals sign

  18. anonymous
    • one year ago
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    subtract 4 from 25 thats 21 ok

  19. anonymous
    • one year ago
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    its B

  20. Vocaloid
    • one year ago
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    what about the right side? 2W + 4 - 4 = ?

  21. anonymous
    • one year ago
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    its B :)

  22. Vocaloid
    • one year ago
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    great

  23. anonymous
    • one year ago
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    thank you!!!!!!!!

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