plz help me Ken 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

Question

plz help me Ken 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

amistre64 · Answer

equal width on both sides meaning?  the table is a square?

anonymous · Answer

as far as i kno yes

anonymous · Answer

the equations are the choices for an answer

amistre64 · Answer

can the area be smaller than 3276?  or is that an exact number they want to match?

anonymous · Answer

yes it can be smaller

amistre64 · Answer

and what is the variable "x" supposed to represent?  number of planks? width?

anonymous · Answer

im guessing the area

amistre64 · Answer

3276 would have to be the area; x has to be a side measurement.

anonymous · Answer

aright well thats all they give me to work with :/

amistre64 · Answer

my guess is (C) as the most obvious answer...

anonymous · Answer

thanks

amistre64 · Answer

just a guess..... couldnt tell you if its right or wrong tho :)