Answer:
- the equation required to fence both garden do not match the perimeter given on statement 2.
Step-by-step explanation:
<u>garden A</u>
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
<u>garden B</u>
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 <u>false.</u> as the equation required to fence both garden do not match the perimeter given on statement 2.
<h3>41x - 37 ≠ 41x + 35</h3>