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=u2−b2=12.52−3.52=12 cm  S=a⋅ b=12⋅ 3.5=42 cm2u=12.5 \ \text{cm} \ \\ b=3.5 \ \text{cm} \ \\ \ \\ a^2 + b^2=u^2 \ \\ \ \\ a=\sqrt{ u^2-b^2 }=\sqrt{ 12.5^2-3.5^2 }=12 \ \text{cm} \ \\ \ \\ S=a \cdot \ b=12 \cdot \ 3.5=42 \ \text{cm}^2

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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