A 30 foot by 24 foot carpet has a white center whose area is 432 square feet. The carpet also has a dark grey border and the top, bottom, and side parts of this border have the same width,
a.
Write an equation using the variable that would allow you to find the width of the border.
b.
Solve your equation to find the width of the border. Show your work. Include proper units in your
answer. Write your final answer in the shaded box.

a) (30 - 2x) * (24 - 2x) = 432

b) 3 inches

Step-by-step explanation:

Let's call the width of the border 'x'.

So the length of the white center is 30 - 2x, and the width is 24 - 2x.

Then, we have that the white center area is:

(30 - 2x) * (24 - 2x) = 432

720 - 108x + 4x2 = 432

4x2 - 108x + 288 = 0

x2 - 27x + 72 = 0

Using Bhaskara's formula to solve the quadratic equation, we have:

Delta = 27^2 - 288 = 441

sqrt(Delta) = 21

x1 = (27 + 21)/2 = 24 (Not a reasonable answer, as the length and width of the center area would be negative)

x2 = (27 - 21)/2 = 3

So the dark grey border has a width of 3 inches

only 10/60 isn't equivalent

hope this : )

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: