9514 1404 393
Answer:
- y = 26.25
- x = 8
- perimeter = 141.5
Step-by-step explanation:
Corresponding segments of the non-parallel lines are proportional:
12/15 = 21/y = x/10
Solving for y, we have ...
y = 21(15/12) = 26.25
Solving for x, we have ...
x = 10(12/15) = 8
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Then AB = y-14 = 26.25 -14 = 12.25, and HG = 5x -3 = 5(8) -3 = 37.
The perimeter is ...
P = AB +BD +DF +FH +HG +GE +EC +CA
P = 12.25 +15 +26.25 +10 +37 +8 +21 +12
P = 141.5
The value of y is 26.25.
The value of x is 8.
The perimeter is 141.5.
