Area of a rectangle

Calculate the area of a rectangle with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.

Result

S =  42 cm2

Solution:

u=12.5 cm b=3.5 cm  a2+b2=u2  a=u2b2=12.523.52=12 cm  S=a b=12 3.5=42=42 cm2u = 12.5 \ cm \ \\ b = 3.5 \ cm \ \\ \ \\ a^2 + b^2 = u^2 \ \\ \ \\ a = \sqrt{ u^2-b^2 } = \sqrt{ 12.5^2-3.5^2 } = 12 \ cm \ \\ \ \\ S = a \cdot \ b = 12 \cdot \ 3.5 = 42 = 42 \ cm^2







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Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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