Lección 4
Paralelogramos
Investiguemos las características y el área de paralelogramos.
Problema 1
Selecciona todos los paralelogramos. Para cada figura que no sea seleccionada, explica cómo sabes que no es un paralelogramo.
![5 figures labeled A, B, C, D, E.](https://cms-im.s3.amazonaws.com/ESgSiRbMtJpvQv3vtmRou97b?response-content-disposition=inline%3B%20filename%3D%226-6.1.B.PP_Image_1.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.B.PP_Image_1.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003814Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9560240a3623ed0ba94fd43347fcca9bcd9b7abc8feb0a9a87759cf1e303f15b)
Problema 2
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Descompón y reorganiza este paralelogramo para formar un rectángulo.
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¿Cuál es el área del paralelogramo? Explica tu razonamiento.
Problema 3
Halla el área del paralelogramo.
![A parallelogram with one side labeled 3.2 centimeters, and another side labeled 10 centimeters. A dashed line perpendicular to the 10 centimeter sides is labeled 3 centimeters](https://cms-im.s3.amazonaws.com/aqSHoFW7BkZEMSarTHTKiiKB?response-content-disposition=inline%3B%20filename%3D%226-6.1.B.PP.New.Image.05.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.B.PP.New.Image.05.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003814Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=d68663aba966c9003a6e5e2839421254bff6de0e346a7a9e37dacb8724174731)
Problema 4
Explica por qué este cuadrilátero no es un paralelogramo.
![A quadrilateral on a grid.](https://cms-im.s3.amazonaws.com/tyb9vPgCcgiJkUr21CeZ6xsR?response-content-disposition=inline%3B%20filename%3D%226-6.1.C.PP.New.Image.01a.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.C.PP.New.Image.01a.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003814Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=cdf1ac6ad56c3fb1defeaafe163fd06dc2061ffda277b8b53711d8b6e2973e27)
Problema 5
Halla el área de cada figura. Muestra tu razonamiento.
![A shape with eight sides drawn on a grid.](https://cms-im.s3.amazonaws.com/iSegiss6sqSUhL9iwodj6cf5?response-content-disposition=inline%3B%20filename%3D%226-6.1.A.PP.New.Image.17a.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.A.PP.New.Image.17a.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003814Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=730798437db67fdd82d14d24e3478af0edd367c73c6d3117ab8ff1509d4bd4c3)
![A shape with six sides. It is 9 units long and six units wide at it’s widest point. Two vertical sides connect four sloped sides, which meet at either end of the shape.](https://cms-im.s3.amazonaws.com/jyv4SaXG4RF7LqSgW7uSj8Vo?response-content-disposition=inline%3B%20filename%3D%226-6.1.A.PP.New.Image.17b.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.A.PP.New.Image.17b.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003814Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=298c9f32f8db9db6740049139c1ddf4c64fc478ee345b69e0752953b7e16713f)
Problema 6
Encuentra las áreas de los rectángulos con las siguientes longitudes de lado.
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5 pulgadas y \(\frac13\) pulgadas
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5 pulgadas y \(\frac 43\) pulgadas
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\(\frac 52\) pulgadas y \(\frac 43\) pulgadas
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\(\frac 7 6\) pulgadas y \(\frac 67\) pulgadas