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The area of an L-shaped countertop is most easily calculated by dividing the region into rectangles, like this: 80 +---------------------------------+ | | | |24 | | | | |.........+-----------------------+ 60| | 56 | | | |36 | | | | | | +---------+ 24 The two rectangles are 24 by 80 inches and 24 by 36 inches. Thus the area is: 24 * 80 + 24 * 36 = 24 * (80 + 36) = 24 * 116 = 2784 sq. in. To get it in square feet, divide by 144: 2784 / 144 = 19.33 sq. ft. The linear measure of this countertop would be 60 + 80 = 140 inches = 140/12 feet = 11.67 feet
Infinitely many. Select any number L, greater than sqrt(24) units an let B = 24/L. then the rectangle with sides measuring L and B will have an area of L*B = L*24/L = 24 square units. Also, B ≤ sqrt(24) ≤ L so that value of L gives a different rectangle. And, since there are infinitely many possible values for L, there are infinitely many possible rectangles.
No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.
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A rectangle with a length of 10 and a width of 24
Yes. Say there are two rectangles, both with perimeter of 20. One of the rectangles is a 2 by 8 rectangle. The area of this rectangle is 2 x 8 which is 16. The other rectangle is a 4 by 6 rectangle. It has an area of 4 x 6 which is 24.
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123x123=123
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The area of an L-shaped countertop is most easily calculated by dividing the region into rectangles, like this: 80 +---------------------------------+ | | | |24 | | | | |.........+-----------------------+ 60| | 56 | | | |36 | | | | | | +---------+ 24 The two rectangles are 24 by 80 inches and 24 by 36 inches. Thus the area is: 24 * 80 + 24 * 36 = 24 * (80 + 36) = 24 * 116 = 2784 sq. in. To get it in square feet, divide by 144: 2784 / 144 = 19.33 sq. ft. The linear measure of this countertop would be 60 + 80 = 140 inches = 140/12 feet = 11.67 feet
You can make 24 rectangles of 1 x 1 tiles each.
In order to get a rectangle with an area of 24 centimeters, the length and width multiplied need to equal 24. On top of that, length and width may not be equal, or the shape would be a square instead of a rectangle. Examples of rectangles with 24cm areas: 1x24 cm 2x12 cm 3x8 cm 4x6 cm
Infinitely many. Select any number L, greater than sqrt(24) units an let B = 24/L. then the rectangle with sides measuring L and B will have an area of L*B = L*24/L = 24 square units. Also, B ≤ sqrt(24) ≤ L so that value of L gives a different rectangle. And, since there are infinitely many possible values for L, there are infinitely many possible rectangles.
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40