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What is the length of this garden A rectangular garden has a perimeter of 48 cm and an area of 140 sq cm?
Wiki User
∙ 14y ago
The area is A and the parameter is P.
Two sides of the garden must be length a and the other two sides must be length b.
ab = A = 140
2a + 2b = P = 48
ab = 140 and
2a = 48 - 2b
dividing bother sides by 2:
a = 24 - b
Plugging in this formula for a in terms of b into the equation for area we can conclude that:
(24 - b)b = 140
24b - b2 = 140
0 = b2 - 24b + 140
This can be factored as such:
0 = (b - 14)(b - 10)
therefore b = 10, 14.
Logically, b can only be either 10 or 14, and amust be the other value.
Wiki User
∙ 14y ago
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