Question

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

Answer 1

• False

• the equation required to fence both garden do not match the perimeter given on statement 2.

• 41x - 37 ≠ 41x + 35

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

Answer 2

• False

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