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asdwwas2
@asdwwas2
July 2022
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Найдите длины сторон прямоугольника, периметр которого равен 38 см, а площадь равна 84 см2.
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ShirokovP
Verified answer
P = 2(a + b) = 38
S = ab = 84
a + b = 19
ab = 84
a = 19 - b
(19 - b)b - 84 = 0
- b^2 + 19b - 84 = 0 /:(-1)
b^2 - 19b + 84 = 0
D = 361 - 336 = 25
b1 = (19 + 5)/2 = 24/2 = 12
b2 = (19 - 5)/2 = 14/2 = 7
Ответ
7; 12
3 votes
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Answers & Comments
Verified answer
P = 2(a + b) = 38S = ab = 84
a + b = 19
ab = 84
a = 19 - b
(19 - b)b - 84 = 0
- b^2 + 19b - 84 = 0 /:(-1)
b^2 - 19b + 84 = 0
D = 361 - 336 = 25
b1 = (19 + 5)/2 = 24/2 = 12
b2 = (19 - 5)/2 = 14/2 = 7
Ответ
7; 12