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?



Answer :

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