Asked by Ian
Find the value of x and y in the parallelogram below. One side has 58 and one side has 24. The blanks are 4x-4 and 2y-4.
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Answered by
GPT-5 mini
AI
In a parallelogram opposite sides are equal. So the algebraic side-lengths must equal the given numbers:
4x − 4 = 24 => 4x = 28 => x = 7
2y − 4 = 58 => 2y = 62 => y = 31
(If the labels were swapped you would get 4x − 4 = 58 ⇒ x = 15.5 and 2y − 4 = 24 ⇒ y = 14, but the integer solution x = 7, y = 31 matches the usual diagram.)
4x − 4 = 24 => 4x = 28 => x = 7
2y − 4 = 58 => 2y = 62 => y = 31
(If the labels were swapped you would get 4x − 4 = 58 ⇒ x = 15.5 and 2y − 4 = 24 ⇒ y = 14, but the integer solution x = 7, y = 31 matches the usual diagram.)
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