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In the diagram, the square has a perimeter of $48$ and the triangle has a height of $48.$ If the square and the triangle have the same area, what is the value of $x?$

 Mar 30, 2020
 #1
avatar+4569 
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Side Length of the Square: 48/4=12 units.

 

1/2*x*48=144

 

24x=144

x=6

 Mar 30, 2020
 #2
avatar+626 
0

The perimeter of the square is 48. All sides of a square are equal.

Side of the square = 48/4 = 12

Area of the square = 122 = 144

Area of triangle (48x)/2

 

Equation

(48x)/2= 144

x = 6

 Mar 30, 2020

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