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.)

Question

ganpat · Answer

(72 + 2x) * (36 +2x) <=  3276
is this the answer ??

anonymous · Answer

no here are my answer choices
4x^2 + 216x + 2,592 = 0
4x^2 + 216x − 684 = 0
2x^2 + 216x − 3,276 = 0
x^2 + 108x + 3,276 = 0

ganpat · Answer

have you tried simplifying above equation ??

anonymous · Answer

sorry i haven't been near my computer

anonymous · Answer

i would if i understood how to even set this up

ganpat · Answer

oh yes.. i can help u with that :D

So what should be area of rectangle ??

anonymous · Answer

LengthxWidth

ganpat · Answer

yup, u have length and width.. 

now |dw:1343234816948:dw|

from the figure , what would be the complete area including border ??