What is the area of parallelogram RSTU?
2 answers:
First, we circumscribe a rectangle about the parallelogram as shown in the figure. The size of this rectangle is 10 by 6 clearly.
Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.
Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)
Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)
Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)
Answer: 32 (square units.)
Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.
Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)
Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)
Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)
Answer: 32 (square units.)
You might be interested in
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.