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What is the area of a rectangle that has a perimeter of 64.6 cm and a diagonal of 24.7 cm showing work?
Wiki User
∙ 9y ago
The area of rectangle is : 1595.62
Alessandro Keeling
Wiki User
∙ 9y agoLet the sides be x and y and divide the perimeter by 2
y = 32.3-x
Using Pythagoras: x^2+(32.3-x)^2 = 24.7^2
As a quadratic equation: 2x^2+433.2-64.6x = 0
Solving the equation: x = 9.5 or x = 22.8
Area: 9.5*22.8 = 216.6 square cm
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