Leo uses a ruler on which the distance between 2 successive markings is 5 mm to measure the sides of a rectangle and here are the results:
Length = 4.5cm
Width = 6.5cm
If he uses the measured lengths to calculate the area of the rectangle, find the accumulated error in the result obtained.
math question
2009-08-12 1:44 am
回答 (1)
2009-08-12 3:13 am
✔ 最佳答案
Scale interval = 5 mm, so max. ab. error = 5/2 = 2.5 mm = 0.25 cm.So max. length = 4.5 + 0.25 = 4.75 cm.
max. width = 6.5 + 0.25 = 6.75 cm.
max. area = 4.75 x 6.75 = 32.0625 cm^2.
Measured area = 4.5 x 6.5 = 29.25 cm^2.
so error = 32.0625 - 29.25 = 2.8125 cm^2.
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