Of all the rectangles that have a perimeter of 20 cm, find the one with the smallest diagonal.
| July 9, 2021 | education
If the perimeter of the rectangle is 20 cm, then the sum of its two width and length will be equal to half of the perimeter.
20 cm ÷ 2 = 10 cm.
From the sum of the length and width, you can make up many rectangles with different lengths and widths, but the smallest diagonal will be at the square, with a side equal to half of the resulting sum of the sides.
a = 10 cm ÷ 2 = 5 cm.
Answer: a square with a side of 5 cm.
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