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

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

valpey · Answer

The length of the table is 72". The width of the table is x times 36" (where x is the number of planks). The area of the table is 72"(x*36"). The perimeter of the table is twice the length plus twice the width.

valpey · Answer

Wait, never mind. This question is incompletely defined.