216,021 views
5 votes
5 votes
Adrianna has a piece of fabric in the shape of a parallelogram.

What is the area of this parallelogram?




32 in²

64 in²

96 in²

128 in²

Adrianna has a piece of fabric in the shape of a parallelogram. What is the area of-example-1
User John Pavek
by
2.6k points

2 Answers

11 votes
11 votes

Answer: 96 in²

Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.

1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.

2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.

User Djalonso
by
2.8k points
12 votes
12 votes

96 in² I think

Make the triangles into a rectangle, find the area and add it to the original square

User Glagarto
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.