Lisa wants to build a table and put a border around it. the table and border must have an area of 3,996 square inches. the table is 42 inches wide and 36 inches long without the border. which quadratic equation can be used to determine the thickness of the border, x?
a.)4x2 + 156x − 2,484 = 0
b.)4x2 + 156x − 3,024 = 0
c.)2x2 + 156x − 3,996 = 0
d.)x2 + 78x + 3,996 = 0

step-by-step explanation:

to find out how thick the border needs to be, start off with what you know. you know that the table+border should have an area of 3996 square inches, and the table without the border is 42x36 inches. to find the area of the table, do 42x36 to get 1512 square inches in area. now, you need to add x inches to the length and width to get to the needed area.

set up an equation of (2x+42)(2x+36)=3996 and then multiply them out to get

finally, subtract 3996 from the right side and the left side to get

to check   your work, you can solve for the solutions to get about 12.14 and then add twice that to the original answer because of how table borders work (draw it out) and then multiply your new length and width to get a little under 3996.

excuse my poor paint drawing

it would to have a graph or something ! but i had this question so its false

step-by-step explanation: