How to find the value of x in a rectangle


Asked by admin @ in Mathematics viewed by 351 People


Find the value of X so that the rectangle and the triangle have the same perimeter. What is the perimeter?

Answered by admin @



Perimeter is the sum of all sides of a two-dimensional shape. Therefore, we can construct the following equation to find the value of X:

2x + 4 + 2x + 2 = x + 7 + x + 3 + x + 9
4x + 6 = 3x + 19
4x - 3x = 19 - 6
x = 13

If the perimeter of these shapes is the same, whatever which of them we use for calculating we will find the same result.

Rectangle:
13 + 2 + 13 + 2 + 13 + 1 + 13 + 1 = 58

Or

Triangle:
13 + 7 + 13 + 3 + 13 + 9 = 58

The perimeter is 58.

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