Answer to Question #450 in Algebra for Matthew

Question

Sides of a rectangle are measured with an accuracy of 1 cm. With what accuracy it is possible to measure the perimeter and area of the rectangle?

Answer 1

Let a and b be the sides of the rectangle. Then the perimeter is measured as P = 2 ∙ (a + b) [cm]. Thus, its accuracy is also 2 cm. The area is measured as S = a ∙ b [cm²]. Thus, its accuracy is 1 cm².