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Kody is building a table. He attached planks of wood and now wants to build a border around the planks. The area of the entire table should be no larger than 3,276 square inches. All together, the planks are 36 inches wide and 72 inches long. Which quadratic equation represents the area of the planks and border combined? (The border must have equal width on each side.)
4x2 + 216x + 2,592 = 0
4x2 + 216x − 684 = 0
2x2 + 216x − 3,276 = 0
x2 + 108x + 3,276 = 0
 9 months ago
 9 months ago
Kody is building a table. He attached planks of wood and now wants to build a border around the planks. The area of the entire table should be no larger than 3,276 square inches. All together, the planks are 36 inches wide and 72 inches long. Which quadratic equation represents the area of the planks and border combined? (The border must have equal width on each side.) 4x2 + 216x + 2,592 = 0 4x2 + 216x − 684 = 0 2x2 + 216x − 3,276 = 0 x2 + 108x + 3,276 = 0
 9 months ago
 9 months ago

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skullpatrolBest ResponseYou've already chosen the best response.0
dw:1372971833241:dw
 9 months ago

michelle_1216_16Best ResponseYou've already chosen the best response.0
so what next do I use that and incorrperate it into the equation to get the answer
 9 months ago

skullpatrolBest ResponseYou've already chosen the best response.0
$$(2x+72)(2x+36)=3276$$ This is the equation for the area of the table. You need to now multiply it out and try to match it to one of the choices.
 9 months ago

skullpatrolBest ResponseYou've already chosen the best response.0
Thanks for trying :)
 9 months ago

michelle_1216_16Best ResponseYou've already chosen the best response.0
so it would be A
 9 months ago

skullpatrolBest ResponseYou've already chosen the best response.0
I get $$4x^2 + 216x − 684 = 0$$
 9 months ago

michelle_1216_16Best ResponseYou've already chosen the best response.0
but when you multiply 36 by 72 you get 2592
 9 months ago

michelle_1216_16Best ResponseYou've already chosen the best response.0
so the first two are correct but the last dosn't seem so
 9 months ago

michelle_1216_16Best ResponseYou've already chosen the best response.0
and the answer is suppose to be positive
 9 months ago
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