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What is the diagonal length of a rectangle when its perimeter is 24.5 cm and has an area of 36.75 square cm?
Wiki User
∙ 8y ago
Let its sides be x and y:-
If: 2(x+y) = 24.5 then y = 12.25-x
If: xy = 36.75 then x(12.25-x) = 36.75 => 12.25x -x^2 -36.75 = 0
Solving the above quadratic equation: x = 7 or x = 5.25
By substitution: x = 7 and y = 5.25
Using Pythagoras' theorem diagonal length works out as 8.75 cm
Wiki User
∙ 8y ago
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