Two garden beds are shown. the perimeters of the two gardens are equal. Part A
write an equation that sets the perimeter equals then solve the equation.

Part B
the side length of a garden cannot be a negative number or zero. what value(s) of X make the equation you wrote in the first part true in this context if this problem

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

Part B

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;

Learn more about the perimeter of geometric figures here:

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the answer will be d: 2

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