Answer:
base = b = 5
height = h = 13
Step-by-step explanation:
Given Data:
Area of Parallelogram = A = 65 [tex]miles^{2}[/tex]
base = b = x -4
height = h = x+4
Formula:
A = b×h
Solution:
A = b×h
65 = (x-4)×(x+4)
65 = [tex]x^{2} - 4^{2}[/tex] ∴ (a-b)(a+b) = [tex]a^{2} - b^{2}[/tex]
65 = [tex]x^{2} - 16[/tex]
[tex]x^{2}[/tex] = 65 + 16
[tex]x^{2}[/tex] = 81
[tex]\sqrt{x^{2} } = \sqrt{81}[/tex]
[tex]x = \sqrt{9^{2} }[/tex]
[tex]x = 9[/tex]
Now,
base = b = x -4 = 9-4
base = b = 5
height = h = x+4 = 9+4
height = h = 13
