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Question 1183943: Juan has a rectangular corral for his horses. The length of his horse corral is 10 ft longer than 3 times its width. Jeremiah has a rectangular corral for his cattle. The length of his cattle corral is 8 ft longer than 4 times its width. Both corrals have the same width. Let x represent this width, in feet.
Write a polynomial, in standard form, for each of the following. Show your work. Classify each polynomial by its degree and by its number of terms.
(a) the perimeter of each corral
(b) the difference between the perimeters of Jeremiah’s and Juan’s corrals
(c) the area of each corral
(d) the sum of the areas of both corrals
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Juan and Jeremiah consider the dimensions of their corrals.
Write an expression for the ratio of the width of Juan’s corral to the width of Jeremiah’s corral. Simplify the expression. Is this expression a polynomial? Explain.
Write an expression for the ratio of the length of Juan’s corral to the width of his corral. Is this expression a polynomial? Explain.
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Juan plans to add 4 ft to the width of his corral, and then adjust the length so that it is 5 times the new width. Write a polynomial, in standard form, for each of the following. Show your work. Classify each polynomial by its degree and by its number of terms.
(a) the perimeter of Juan’s corral after the changes are made
(b) the area of Juan’s corral after the changes are made
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please help with these questions, they all correlate and its been stressing me out. any help is much appreciated, thank you.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
PERSON LENGTH WIDTH PERIMETER
Juan 3x+10 x 2(4x+10)
Jeremiah 4x+8 x 2(5x+8)
Area is width multiplied by length.
Juan's plan:
New width x+4 and new length 5(x+4)=5x+20.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Juan has a rectangular corral for his horses. The length of his horse corral is 10 ft longer than 3 times its width. Jeremiah has a rectangular corral for his cattle. The length of his cattle corral is 8 ft longer than 4 times its width. Both corrals have the same width. Let x represent this width, in feet.
Write a polynomial, in standard form, for each of the following. Show your work. Classify each polynomial by its degree and by its number of terms.
(a) the perimeter of each corral
(b) the difference between the perimeters of Jeremiah’s and Juan’s corrals
(c) the area of each corral
(d) the sum of the areas of both corrals
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Juan and Jeremiah consider the dimensions of their corrals.
Write an expression for the ratio of the width of Juan’s corral to the width of Jeremiah’s corral. Simplify the expression. Is this expression a polynomial? Explain.
Write an expression for the ratio of the length of Juan’s corral to the width of his corral. Is this expression a polynomial? Explain.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Juan plans to add 4 ft to the width of his corral, and then adjust the length so that it is 5 times the new width. Write a polynomial, in standard form, for each of the following. Show your work. Classify each polynomial by its degree and by its number of terms.
(a) the perimeter of Juan’s corral after the changes are made
(b) the area of Juan’s corral after the changes are made
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
please help with these questions, they all correlate and its been stressing me out. any help is much appreciated, thank you.
Just to let you know, if you don't already know: The perimeter of a rectangle is NOT the sum of its length and width,
but the sum of TWICE its length and TWICE its width. So, with width being x, the perimeters of these rectangles are NOT
4x + 10 and 5x + 8, as the other person states.
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