SOLUTION: Please could you help me with a question that I have been set. The question is the rectangle and triangle that I have been given each have the same perimeter. I have to write an e

Algebra ->  Angles -> SOLUTION: Please could you help me with a question that I have been set. The question is the rectangle and triangle that I have been given each have the same perimeter. I have to write an e      Log On


   



Question 174090: Please could you help me with a question that I have been set.
The question is the rectangle and triangle that I have been given each have the same perimeter. I have to write an equation and solve it to find the value of X
The rectangle is 2x 2x 5 5
The triangle are 3x 3x 6
Please could you show me the working out for this to find what X is.
Many thanks

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You are given 4 sides on the rectangle. Three on the triangle.
The perimeter of a polygon is the sum of its sides.
PerimeterRectangle+=+2x+%2B+2x+%2B+5+%2B+5 = 4x+%2B+10
PerimeterTriangle+=+3x+%2B+3x+%2B+6 = 6x+%2B+6
You are told the two polygons have the same perimeter. So
4x+%2B+10+=+6x+%2B+6 collect like terms
4+=+2x
2+=+x
So the rectangle is 4 x 5
and the triangle is equilateral (all 3 sides are a length of 6.
Each has a perimeter of 18