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Sagot :
Answer:
C) y = 16 feet
Step-by-step explanation:
the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something
all values are in feet
let x represent the unknown side in ABCD
ABCD lengths in order: x, 30 , 40 , 60
let a and b represent the unknown sides in EFGH
EFGH lengths in order: 6, 12, a, b
thus, 30 corresponds to 12 as they are both the second shortest sides
corresponding side in EFGH * something = corresponding side in ABCD
12 * something = 30
let something be r
12 * r = 30
divide both sides by 12 to isolate r
r = 30/12
thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12
we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD
let the second longest side in EFGH = y
y * 30/12 = 40
multiply both sides by 12/30 to isolate y
40 * 12 / 30 = y = 16
y = 16 feet
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