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PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 2 is true or false and explain why the statement was true or false

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN There are two gardens garden A and garden B are shown in the image below Determine if statement 2 is true or false and class=
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN There are two gardens garden A and garden B are shown in the image below Determine if statement 2 is true or false and class=

Respuesta :

mhanifa

Answer:

  • False

Step-by-step explanation:

Perimeter of garden A  is

  • P = 2(w + l) = 2( 2x - 3 + 5(2x - 3)) = 24x - 36

Perimeter of garden B  is

  • 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1

Sum of perimeters:

  • 24x - 36 + 17x - 1 = 41x - 37

The statement 2 is FALSE as number we got is different from the one in the statement

ricchad

Answer:

  • False
  • the equation required to fence both garden do not match the perimeter given on statement 2.
  • 41x - 37 ≠ 41x + 35

Step-by-step explanation:

garden A

Width (W) = 2x - 3

Length (L) = 5(W)

                = 5 (2x - 3)

                = 10x - 15

Perimeter A = 2L + 2W  (perimeter of a rectangular garden)

                    = 2(10x - 15) + 2(2x - 3)

                    = 20x - 30 + 4x - 6

                    = 24x - 36

garden B

side 1 = 5x + 5

side 2 = 4x + 2

side 3 = 8x - 8

Perimeter B = sides (1 + 2 + 3)  

                    = 5x+5 + 4x+2 + 8x-8

                    = 5x + 4x + 8x + 5 + 2 - 8

                    = 17x - 1

Garden A + garden B  = statement 2

24x - 36  +  17x - 1

24x + 17x - 36 - 1

 41x - 37

therefore, the statement 2 is false. as the equation required to fence both garden do not match the perimeter given on statement 2.

41x - 37 ≠ 41x + 35

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