To solve the problem step-by-step, we need to find the area of a rectangle with a base of 2 yards and a height of 5 feet, and express the area in square feet and square yards.
1. Convert the height from feet to yards:
- Since there are 3 feet in a yard, we divide the height in feet by 3.
- Height in yards = [tex]\( \frac{5 \text{ ft}}{3} \approx 1.\overline{66}\text{ yd} \)[/tex]
2. Calculate the area in square yards:
- The area of a rectangle is given by the formula [tex]\(\text{Area} = \text{base} \times \text{height}\)[/tex].
- Using base = 2 yards and height [tex]\(\approx 1.\overline{66}\text{ yd}\)[/tex], we get:
- [tex]\(\text{Area in square yards} = 2 \text{ yd} \times 1.\overline{66} \text{ yd} \approx 3.\overline{33} \text{ yd}^2\)[/tex]
3. Convert the area from square yards to square feet:
- Since there are 9 square feet in a square yard (1 yard = 3 feet, so [tex]\(1 \text{ yd}^2 = 3 \text{ ft} \times 3 \text{ ft} = 9 \text{ ft}^2\)[/tex]),
- Area in square feet = Area in square yards [tex]\(\times 9\)[/tex]
- [tex]\(\text{Area in square feet} \approx 3.\overline{33} \text{ yd}^2 \times 9 \approx 30 \text{ ft}^2\)[/tex]
So, the area of the rectangle is approximately [tex]\(3.\overline{33} \text{ square yards}\)[/tex] or [tex]\(30 \text{ square feet}\)[/tex].
The correct answer from the given options is:
[tex]\[30 \text{ ft}^2\][/tex]
