The perimeter are given by the sum of the expressions of the lengths of
the sides which are each equal to 4·x + 6.
Response:
Part A
- The equation of the perimeters is; 4·x + 6 = 4·x + 6
Part B
- The values of x are; 0 < x < ∞
Which methods can be used to evaluate the given figures?
Part A
Given parameters;
Perimeter of the rectangular garden = Perimeter of the triangular garden
Therefore;
Perimeter of the rectangular garden = 2 × (x + 2) + 2 × (x + 1) = 4·x + 6
Perimeter of the triangular garden = x + 3 + 2·x + 1 + x + 2 = 4·x + 6
The equation that sets the perimeters equal is therefore;
4·x + 6 = 4·x + 6
The solution of the above equation is therefore;
x = x
Part B
The values of x that make the first part of the equation true are;
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