Final answer:
The area of the rectangle with dimensions 4/5 m by 7/9 m is calculated by multiplying the length and width. The formula is area = (4/5) m × (7/9) m, which equals 28/45 square meters. Answer (a) 28/45 square meters is therefore correct.
Step-by-step explanation:
The area of a rectangle is calculated by multiplying the length by the width. In this case, the dimensions are given as 4/5 m for the length and 7/9 m for the width. To find the area in square meters, we simply multiply these two values:
Area = Length × Width = (4/5) m × (7/9) m.
Now, let's calculate the area:
Area = (4 × 7) / (5 × 9)
Area = 28 / 45 square meters.
So, the area of the rectangle with dimensions 4/5 m by 7/9 m is 28/45 square meters. Therefore, the correct answer is (a) 28/45 square meters.