The rectangle is less than 8.5 cm long and less than 4.3 cm wide.Prove that the perimeter is less than 25.
| July 3, 2021 | education
We denote by a and b the length and width of the rectangle, we obtain the following inequalities:
a <8.5;
b <4.3.
Adding them together we get:
a + b <8.5 + 4.3 = 12.8.
Multiplying by 2, we get:
2 * (a + b) <25.6.
Since 2 * (a + b) – is the perimeter, everything is proved.
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