Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square feet. The table is 36 inches wide and 72 inches long without the boarder. Which quadratic equation can be used to determine the thickness of the border, x?

4x2 + 216x + 2,592 = 0

4x2 + 216x - 684 = 0

2x2 + 216x - 3,276 = 0

x2 + 108x + 3,276 = 0

Question

Delilah Schwartz

Mathematics

27 September, 00:08

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square feet. The table is 36 inches wide and 72 inches long without the boarder. Which quadratic equation can be used to determine the thickness of the border, x?

4x2 + 216x + 2,592 = 0

4x2 + 216x - 684 = 0

2x2 + 216x - 3,276 = 0

x2 + 108x + 3,276 = 0

+2

Answers (1)

Know the Answer?

Zion Woodard · Answer 1

A = 3.276 ft²

A = (W + 2 x) · (L + 2 x)

(36 + 2 x) · (72 + 2 x) = 3,276

2,592 + 72 x + 144 x + 4 x² = 3,276

4 x² + 216 x + 2,592 - 3,276 = 0

Answer:

B) 4 x² + 216 x - 684 = 0