tatia65
10.08.2021 •
Mathematics
The area of a rectangle is 36 square centimeters. Give all possible whole-number dimensions of the rectangle. Which rectangle has the greatest perimeter?
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Ответ:
ALL POSSIBLE DIMENSIONS OF THE RECTANGLE (whole numbers):
1 cm and 36 cm (Perimeter = 74 cm)
2 cm and 18 cm (Perimeter = 40 cm)
3 cm and 12 cm (Perimeter = 30 )
4 cm and 9 cm (Perimeter = 26)
6 cm and 6 cm Perimeter= 24 (squares are also considered rectangles, this is a square because of equal sides)
The rectangle with the greatest perimeter consists of the dimensions 1 cm and 36 cm.
EXPLANATION:
I listed all possible factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
And have come up with 5 possible dimensions with numbers from the listed factors above (when the dimensions of each rectangle are multiplied the result will be 36/the area)
Multiplication is used because the area of a rectangle is length x width
And I used the formula for perimeter:
2 (l + w)
And found the greatest perimeter (74 cm) that belongs to the rectangle with the dimensions 36 cm and 1 cm.
Ответ:
Ответ:
Open dot going to the right