Final answer:
To find the area of a rectangle, multiply its length by its width. In this case, the length is 1 7/9 inches and the width is 3/4 of the length.
Step-by-step explanation:
To find the area of a rectangle, we multiply its length by its width. In this case, the length of the rectangle is 1 7/9 inches. To be able to multiply, we need to convert this mixed number into an improper fraction. 1 7/9 can be written as (9*1 + 7)/9 = 16/9 inches. The width of the rectangle is given as 3/4 of its length. So, let's multiply 16/9 inches by 3/4 to find the width:
Width = (16/9) * (3/4) = (16*3)/(9*4) = 48/36 = 4/3 inches.
Now that we have the length and width, we can find the area:
Area = Length * Width = (16/9) * (4/3) = 64/27 square inches.