Answer :
Answer:
The value of x is 2[tex]\sqrt{29}[/tex] .
Step-by-step explanation:
Given as :
The area of Trapezoid = x² unit²
The measure of base 1 = [tex]b_1[/tex] = - 19 unit
The measure of base 2 = [tex]b_2[/tex] = 10 unit
The height of the mid segment = 8 unit
Now, From the Area of Trapezoid
i.e Area = [tex]\dfrac{1}{2}[/tex] × (sum of opposite base) × height
Or, x² = [tex]\dfrac{1}{2}[/tex] × (19 + 10) × 8
Or, x² = [tex]\dfrac{8}{2}[/tex] × (29)
Or, x² = 4 × (29)
Or, x² = 116
∴ x = [tex]\sqrt{116}[/tex]
I.e x = 2[tex]\sqrt{29}[/tex]
Hence, The value of x is 2[tex]\sqrt{29}[/tex] . Answer