anonymous
  • anonymous
A rectangle & a equilateral triangle each have at least one side that is 6 inches long. Their permiters are equal. How do I find the area ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Nnesha can u help me again ?
zepdrix
  • zepdrix
|dw:1439135991231:dw|
zepdrix
  • zepdrix
Each has a side that is 6 inches long. Since the triangle is equilateral, that tells us that all sides are 6.

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zepdrix
  • zepdrix
We'll label the width or the length of the rectangle as 6, but not both. It doesn't matter which.
zepdrix
  • zepdrix
|dw:1439136111337:dw|
zepdrix
  • zepdrix
Let's calculate the perimeter of each shape.\[\large\rm \color{royalblue}{P_{\square}=6+w+6+w}\]\[\large\rm \color{green}{P_{\triangle}=6+6+6}\]They tell us that the perimeters are equal:\[\large\rm \color{royalblue}{P_{\square}}=\color{green}{P_{\triangle}}\]\[\large\rm \color{royalblue}{6+w+6+w}=\color{green}{6+6+6}\]
zepdrix
  • zepdrix
Solve this equation for w, the width. You already have your length, so after you find your width, the area of your rectangle will given simply by length times width.
anonymous
  • anonymous
@zepdrix what's the equation ?

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