Question:
Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.
The complete figure of this question is attached below
Answer:
Solution:
The complete figure of this question is attached below
Given that, a quadrilateral with,
Side lengths are:
[tex]4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches[/tex]
The values of the side lengths when x = 2 are
[tex](4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch[/tex]
Perimeter of a quadrilateral = Sum of its sides
Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches
Thus perimeter of the quadrilateral is 129 inches
