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Mathematics, 04.06.2020 13:11 bosa1423ov5zrr
Luluse se 15
For example. Sam calculated that a 35 mm x 33 mm rectangle has an
area of 1155 mm², whereas rounding 35 mm and 33 mm to the nearest
10 millimetres results in an approximate area of 40 x 30 = 1200 mm.
a A rectangle has length 47 mm and width which is larger than 20 mm
but rounds to 20 mm. The approximate area is larger than the actual
area. Find all possible widths of the rectangle.
To her surprise, Sam found a rectangle whose sides were not a multiple
of 10 millimetres but its actual area was the same as its approximate
area. She decided to call such a rectangle quirky.
b Explain why one side length of a quirky rectangle must round up and
the other side length must round down.
c Explain why one side length of any quirky rectangle is a multiple of
4 mm and the other is a multiple of 25 mm.
d Find the dimensions of all quirky rectangles with side lengths under
100 mm.
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Answers: 1
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Luluse se 15
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