Answer:
If the ratio of the length to width of the rectangle is 3 to 2, we can write the length and width as:
length = 3x and width = 2x
where x is a common factor that can be determined once we know one of the dimensions.
Since the length of the rectangle is given as 1 3/4 feet, we can set x = 1 3/4:
length = 3x = 3 * 1 3/4 = 5 1/4 feet
width = 2x = 2 * 1 3/4 = 3 1/2 feet
Now that we know the length and width of the rectangle, we can calculate its area in square inches:
area = length * width = 5 1/4 * 3 1/2 = 18 3/8 square feet
To convert from square feet to square inches, we multiply by 12^2 = 144:
area = 18 3/8 * 144 = 2664 square inches
So the area of the rectangle is 2664 square inches.