You are building a wooden box that is two feet tall has sides which measure 24.3" and 36.4". If you want to cut all four sides from 1 board what will the minimum length be of that board? *

121.4 inches

Step-by-step explanation:

If we want to use 1 board to make all four sides of the box, the minimum length of the board needs to be the sum of the length of the four sides.

So, as the box is rectangular, two sides have a length of 24.3 inches and two sides have a length of 36.4 inches.

If we sum them all, we have:

24.3 + 24.3 + 36.4 + 36.4 = 121.4 inches

So the board needs to have a minimum length of 121.4 inches

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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