Question

Figure 3: Idea for a proof of the formula for the area of a parallelogram with vertices at (0,0), (a, b), (a+c, b + d), and (c, d), where a, b, c, d > 0. The first and third parallelograms have the same area. The lower left vertex is at (0,0) in all the figures. What are the coordinates of all the vertices in the second and third picture? What is the base and the height of the third parallelogram?

Name: Figure 3: Idea for a proof of the formula for the area of a parallelogram with vertices at (0,0), (a, b), (a+c, b + d), and (c, d), where a, b, c, d > 0. The first and third parallelograms have the same area. The lower left vertex is at (0,0) in all the figures. What are the coordinates of all the vertices in the second and third picture? What is the base and the height of the third parallelogram?
Uploaded: 2023-03-08T06:14:39-08:00
Duration: 2 min 19 s
Channel: Supreeta N

          Figure 3: Idea for a proof of the formula for the area of a parallelogram with vertices at (0,0), (a, b), (a+c, b + d), and (c, d), where a, b, c, d > 0. The first and third parallelograms have the same area. The lower left vertex is at (0,0) in all the figures. What are the coordinates of all the vertices in the second and third picture? What is the base and the height of the third parallelogram?

Figure 3: Idea for a proof of the formula for the area of a parallelogram with vertices at (0,0), (a, b), (a+c, b + d), and (c, d), where a, b, c, d > 0. The first and third parallelograms have the same area. The lower left vertex is at (0,0) in all the figures. What are the coordinates of all the vertices in the second and third picture? What is the base and the height of the third parallelogram?

Added by Emily R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

03/08/2023

Step 1

Step 1: In the second picture, the coordinates of the vertices are (0,0), (a,b), (a+c, b+d), and (c,d). Show more…

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can you prove without using cross product? (a+c,b+d) (a+c,b+d) (c,d) c, (c,d) (a,b) 0,0 (0,0) 0,0) Figure 3: Idea for a proof of the formula for the area of a parallelogram with vertices at (0,0), (a, b) (a + c, b + d), and (c, d), where a, b, c, d > 0. The first and third parallelograms have the same area. The lower left vertex is at (0,0) in all the figures. What are the coordinates of all the vertices in the second and third picture? What is the base and the height of the third parallelogram?