Answer:
DA = 4 inches
Step-by-step explanation:
set the sides equal to each other since they are the same length. Then solve for x.
[tex]8x - 5 = 3x + 10[/tex]
[tex]8x - 5 = 3x + 10 \\ - 3x \: \: \: \: \: \: - 3x[/tex]
[tex]5x - 5 = 10[/tex]
[tex]5x - 5 = 10 \\ + 5 \: \: \: + 5[/tex]
[tex]5x = 15[/tex]
[tex] \frac{5x}{5} = \frac{15}{5} [/tex]
[tex]x = 3[/tex]
Find the length of one side by substituting x with 3.
[tex]3x + 10[/tex]
[tex]3(3) + 10[/tex]
[tex]9 + 10 = 19[/tex]
AB and DC are both 19. Find the the total of both sides.
[tex]19 \times 2 = 38[/tex]
Subtract from the total perimeter and then divide by 2 since AD and BC are the same.
[tex]46 - 38 = 8[/tex]
[tex]8 \div 2 = 4[/tex]
