Problema Solution
The length of one side of a triangle is 5/12 of the perimeter and a second side has length 5/24 of the perimeter. If these two sides have a total length of 77cm, determine the triangles perimeter as a mixed number.
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Answer provided by our tutors
let
P = the perimeter of the triangle
a = the length of one side
b = the length of the other side
a = (5/12)P
b = (5/24)P
these two sides have a total length of 77 cm
a + b = 77
(5/12)P + (5/24)P = 77
by solving we find
P = 616/5
P = 123 1/5 cm
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the perimeter of 123 1/5 cm.