We start by finding the area of the rectangle, which is:
12 x 40 = 480 in²
Next, we need to subtract the area of the original rectangle from the area that the rectangle plus the border will occupy, which is:
480 + 360 = 840 in²
840 - 480 = 360 in²
So the area of the border is 360 in².
We can set up the equation:
width x length = 360
We know that the length of the border will be the same as the length of the original rectangle, which is 40 inches. So we can solve for the width:
width x 40 = 360
width = 360/40
width = 9 inches
Therefore, the width of the border of shells will be 9 inches.
A person has a rectangle or bore 12” x 40” around which she wants to put a uniform border of shells if she has enough shells for a border whose area is 360 in.² determine the width of the border
5 answers
A person has a rectangle or bore 12” x 14” around which she wants to put a uniform border of shells if she has enough shells for a border whose area is 360 in.² determine the width of the border
We start by finding the area of the rectangle, which is:
12 x 14 = 168 in²
Next, we need to subtract the area of the original rectangle from the area that the rectangle plus the border will occupy, which is:
168 + 360 = 528 in²
528 - 168 = 360 in²
So the area of the border is 360 in².
We can set up the equation:
width x length = 360
We know that the length of the border will be the same as the length of the original rectangle, which is 14 inches. So we can solve for the width:
width x 14 = 360
width = 360/14
width ≈ 25.71 inches (rounded to two decimal places)
Therefore, the width of the border of shells will be approximately 25.71 inches.
12 x 14 = 168 in²
Next, we need to subtract the area of the original rectangle from the area that the rectangle plus the border will occupy, which is:
168 + 360 = 528 in²
528 - 168 = 360 in²
So the area of the border is 360 in².
We can set up the equation:
width x length = 360
We know that the length of the border will be the same as the length of the original rectangle, which is 14 inches. So we can solve for the width:
width x 14 = 360
width = 360/14
width ≈ 25.71 inches (rounded to two decimal places)
Therefore, the width of the border of shells will be approximately 25.71 inches.
AAAaannndd the bot gets it wrong yet again!
If the width of the border is w, then we have
(12+2w)(14+2w)-12*40 = 360
4w^2+52w-360 = 0
4(w+18)(w-5) = 0
w = 5
If the width of the border is w, then we have
(12+2w)(14+2w)-12*40 = 360
4w^2+52w-360 = 0
4(w+18)(w-5) = 0
w = 5
I apologize for the mistake in the previous answer. You are correct in your solution. Thank you for providing the correct method to solve the problem.
1 answer