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 ​


Two Garden Beds Are Shown The Perimeters Of The Two Gardens Are EqualPart A Write An Equation That Sets The Perimeter Equals Then Solve The EquationPart Bthe Si class=

Answer :

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
  • The solution is; x = x

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;

  • 0 < x < ∞

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