rectangle with a length of 24 1/5 and a width of 17 1/6 cm
To find the area of a rectangle, you multiply its length by its width. In this case, the length is 24 1/5 cm and the width is 17 1/6 cm.
First, we need to convert the mixed numbers into improper fractions.
To convert 24 1/5 to an improper fraction, multiply the whole number part (24) by the denominator (5) and add the numerator (1). This gives us (24*5)+1 = 121. The denominator remains the same, so the improper fraction is 121/5.
Likewise, for 17 1/6, we multiply the whole number part (17) by the denominator (6) and add the numerator (1). This gives us (17*6)+1 = 103. The denominator remains the same, so the improper fraction is 103/6.
Now that we have the dimensions as improper fractions, we can proceed to find the area.
Area = length * width
Area = (121/5) * (103/6)
To multiply fractions, we multiply the numerators together and the denominators together.
Area = (121 * 103) / (5 * 6)
Area = 12,463 / 30
Now, we can simplify the result.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 12,463 and 30 is 1.
By dividing both the numerator and the denominator by 1, the fraction remains the same.
Therefore, the area of the rectangle with a length of 24 1/5 cm and a width of 17 1/6 cm is 12,463/30 square cm.