a rectangle has an area of 24 square cm and its perimeter is 28 cm find its sider using the factor of 24
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Answer:
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Step-by-step explanation:
Factors of 24:
2 * 12
3 * 8
4 * 6
12 and 2
a= l x w 12 x2 = 24
perimeter add all sides
12+ 12 +2 +2 = 28
to make it easy
L + w = 14
l w = 24
2L + 2W = 28.
Divide both sides by 2:
Eq1: L + W = 14.
Eq2: L*W = 24.
L = 24/W.
In Eq1, replace L with 24/W:
24/W + W = 14.
Multiply both sides by W:
W^2 + 24 = 14W.
W^2 - 14W + 24 = 0.
24 = -2*-12, -2 + -12 = -14 = B.
(w-2)(w-12) = 0.
w-2 = 0, W = 2.
w-12 = 0, W = 12.
(L,W)
(12,2)
(2,12)
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