Final answer:
To find the area of a garden, flag, tabletop, and poster with different measurements, convert the measurements to a common unit and then multiply them. The area of the garden is 21 and 1/4 square feet, the area of the flag is 1 square foot, the area of the tabletop is 9/16 square meters, and the area of the poster is 49/16 square feet.
Step-by-step explanation:
The area of a rectangle can be found by multiplying its length and width. To find the area of a garden that measures 1 and 1 third yards by 1 and 3 fourths yards, we can first convert the measurements to a common unit. Since there are 3 feet in a yard, we can multiply 1 and 1 third yards by 3 to get 4 feet, and multiply 1 and 3 fourth yards by 3 to get 5 and 1 fourth feet. So, the area of the garden is 4 feet times 5 and 1 fourth feet, which is 20 and 5/4 or 21 and 1/4 square feet.
Similarly, for the flag that measures 1 out of 3 thirds feet by 3 feet, we can convert the measurement to a fraction. 1 out of 3 thirds is equal to 1/3 times 3, which is 1 square foot.
The area of the tabletop that measures 3-fourths meter by 3 f3-further is found by multiplying the measurements. 3 fourths meter times 3 fourths meter is equal to 9 sixteenths or 9/16 square meters.
Finally, for the poster that measures 1 and 3 fourths feet by 1 and 3 fourths feet, we can convert the measurements to a mixed number form. 1 and 3 fourths feet is equal to 1 times 3 plus 3 fourths, which is 7 fourths feet. So, the area of the poster is 7-fourths feet times 7-fourths feet, which is 49 sixteenths or 49/16 square feet.