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Asked by NicoleWe need to work out the upper and lower bounds for each side given: 87.3 Upper bound : 87.35 Lower bound :87.25 51.8 Upper bound :51.85 Lower bound :51.75 We know the area of a rectangle is width*length so for the upper bound for the area we multiply the upper bound fo width and the upper bound of length together: So 87.35 * 51.85 = 4529.1cm^2 We know that the perimeter is each side of the rectangle added together, so for the lower bound for the perimeter we add the lower bound of each side: 2* 87.25 + 2* 51.75 = 278.0cm

Since the measurements are to the tenth, the error for each is 0.05 cm. When adding numbers, the errors simply add up, so for the perimeter: Value: 2 x ( 87.3 + 51.8) = 278.2 Error: 2 x (0.05 + 0.05) = 0.2 So the lower bound for the perimeter is 278.2 - 0.2 = 278.0 cm When multiplying numbers, you need to find the error as a percentage of the value and add them together. Error in length: 0.05 / 87.3 = 0.057% Error in width: 0.05 / 51.8 = 0.097% Total error percentage: 0.057 + 0.097 = 0.15% Value: 87.3 x 51.8 = 4522.1 Final Error: 0.15% x 4523.14 = 6.8 So the upper bound for the area is 4522.1 + 6.8 = 4528.9

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