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The length of rectangle A is 24 cm and the length of rectangle B is 96 cm The two rectangles are similar Find the ratio of the area of B to the area of A?
8:32
How many different rectangles can have an area of 24 square inches if their lengths and widths are whole numbers?
4
How to get Square footage for counter tops?
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
How many different rectangles can you make with a area of 24?
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.
Are all rectangles with the perimiter of 20 feet equal the same area?
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.
