Answer:
See below ~
Step-by-step explanation:
Let the length be 'a' and width be 'b'.
The equations formed :
⇒ 2(a + b) = 68 ⇒ a + b = 34
⇒ ab = 285 ⇒ a = 285/b
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Substitute the value of a in the first equation :
⇒ 285/b + b = 34
⇒ 285 + b² = 34b
⇒ b² - 34b + 285 = 0
⇒ b² - 19b - 15b + 285 = 0
⇒ b(b - 19) - 15(b - 19) = 0
⇒ b = 19, 15
⇒ These are the dimensions
⇒ Length will be the greater value and width will be the smaller value
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Solution :
⇒ Length = 19 inches
⇒ Width = 15 inches