An equilateral triangle and a square have the same perimeter. One side of the triangle measures 28 units. What is the area of the square?

Question

An equilateral triangle and a square have the same perimeter.  One side of the triangle measures 28 units.  What is the area of the square?

anonymous · Answer

So the geometry of an equilateral tell us that it has three sides all of the same length, so if the length =28 this tells us that the sum of the three sides is 3*28cm.

So Perimeter=28*3


If a square has a perimeter of the same, then the four equal sides must add up to 3*28
So each side of the square must equal perimeter of triangle/4

So perimeter/4=length of one side

Area=length*width
and the length and width of a square are the same

so multiply 
Area = length * width

This is your answer

Hope this helps!

anonymous · Answer

I got 441squared units.  I am new to this, how would I give a medal?

anonymous · Answer

Yep that is correct! Good work :)

anonymous · Answer

Thank you, the tutors at my college couldn't even solve it...

anonymous · Answer

No problem! Happy to help!