Duc is making an art piece to enter into a local art contest. Duc's art piece is in the shape of a parallelogram and has an area of 675 in². The base of his art piece is 25 inches. What is the height of his art piece?
To find the height of Duc's art piece, we can use the formula for the area of a parallelogram, which is:
\[ \text{Area} = \text{Base} \times \text{Height} \]
Given that the area of Duc's art piece is 675 in² and the base is 25 inches, we can rearrange the formula to solve for the height:
\[ \text{Height} = \frac{\text{Area}}{\text{Base}} \]
\[ \text{Height} = \frac{675 \text{ in²}}{25 \text{ in}} \]
\[ \text{Height} = 27 \text{ in} \]
Therefore, the height of Duc's art piece is 27 inches.
Answer:
Height = 27 inches
Step-by-step explanation:
Area of a parallelogram is bh since it is essentially two triangles put together,
A = bh
675 = 25h
675/25 = h
h = 27