SOLUTION: suppose the perimeter of the rectangle and the perimeter of the triangle are equal. the rectangle has 4 on the left side and x+3 on the bottom and the triangle is 2x on all thre

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Question 39045This question is from textbook
: suppose the perimeter of the rectangle and the perimeter of the triangle are equal.
the rectangle has 4 on the left side and x+3 on the bottom and the triangle is 2x on all three sides.
a. write and equation in terms of x to represent this situation
b. solve the equation for x
c. Find the length of the rectangle
d.Find the length of each side of the triangle
thank you This question is from textbook

Found 2 solutions by checkley71, KneesAndToes:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2*4+2(X+3)=2*3X OR 8+2X+6=6X OR 4X=14 OR X=14/4 OR X=3.5
PROOF 2*4+2(3.5+3)=6*3.5 OR 8+2*6.5=21 OR 8+13=21 OR 21=21

Answer by KneesAndToes(13) About Me  (Show Source):
You can put this solution on YOUR website!
perimeter of triangle = perimeter of rectangle


2x+2x+2x = 4+(x+3)+4+(x+3) ... (simplify)


6x = 14+2x ... (subtract 2x from both sides)


4x = 14 ... (divide both sides by 4)


x = 3.5


Now you can replace x with 3.5 for each equation:


Perimeter of triangle = 6x = 6(3.5) = 21


Perimeter of rectangle = 14+2x = 14+2(3.5) = 21