SOLUTION: The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length. a)Estimate without calulations, estimate which fiqure has th

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Question 108292This question is from textbook pre-algebra
: The perimeter of the square is equal to the perimeter of the triangle. The sides of the triangle are equal in length.
a)Estimate without calulations, estimate which fiqure has the greater side length. Explain choice.
b) What is the side lenght of each fiqure?
c) What is the perimeter of each fiqure?
One side of square is 3x, another side is 2x+3
One side of triangle is 5x-3
page 135 in text book
I said the square for a.
for b) I had 3=x
and for c) trangle perimeter is36 units and the square perimeter is 36 units.
This question is from textbook pre-algebra

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
a) Triangle: let the perimeter of each be y.
A side of the triangle = y/3; side of square = y/4
.
b) see a.
.
c) 3x=2x+3 since the sides are equal
3x-2x=2x-2x+3
x=3
So, 1 side of the square is 9 and the perimeter is 9*4=36
.
For the triangle:
3(5x-3)=15x-9=p
15*3-9=36
Note that a side of the triangle=12 and a side of the square = 9 proving part a.
.
Ed

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