Question: A paving stone is in the shape of a parallelogram, as shown.
8 in.
16 1/4 in.
What is the area of the paving stone, in square inches?
Use the number pad to enter your answer in the box.
130 in.^2
top-left: parallelogram with base 16 1/4 in. and height 8 in.; area = 130 in.^2
1. **State the problem:** We need to find the area of a parallelogram with base $16 \frac{1}{4}$ inches and height $8$ inches.
2. **Formula for area of a parallelogram:**
$$\text{Area} = \text{base} \times \text{height}$$
3. **Convert mixed number to improper fraction:**
$$16 \frac{1}{4} = \frac{65}{4}$$
4. **Calculate the area:**
$$\text{Area} = \frac{65}{4} \times 8$$
5. **Simplify the multiplication:**
$$\text{Area} = \frac{65}{4} \times \frac{8}{1} = \frac{65 \times 8}{4 \times 1}$$
6. **Cancel common factors:**
$$\frac{65 \times \cancel{8}}{\cancel{4} \times 1} = \frac{65 \times 2}{1} = 130$$
7. **Final answer:**
The area of the paving stone is $130$ square inches.