High School

6. Encuentra las áreas de los rectángulos con las siguientes longitudes de lado. a. 5 pulgadas y pulgadas b. 5 pulgadas y pulgadas a. pulgadas y pulgadas b. 7 pulgadas y pulgadas​

6 Encuentra las áreas de los rectángulos con las siguientes longitudes de lado a 5 pulgadas y pulgadas b 5 pulgadas y pulgadas a pulgadas

Answer :

Area of Rectangles of the given values are 5/3inches², 20/3inches², 10/3inches² and 1 inches²

What is Area of Rectangle?

The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that can fit inside a rectangle called its area.

Since we know that,

Area of Rectangle = length x width

So, by the given values we can find the area of the following:

a) 5inch and 1/3inch

Let,

Length = 5inch

Width = 1/3inch

Since,

Area of Rectangle = length x width

= 5 x 1/3

= 5/3inches²

b) 5inch and 4/3 inch

Let,

Length = 5inch

Width = 4/3inch

Since,

Area of Rectangle = length x width

= 5 x 4/3

= 20/3inches²

c) 5/2inch and 4/3 inch

Let,

Length = 5/2inch

Width = 4/3inch

Since,

Area of Rectangle = length x width

= 5/2 x 4/3

= 5 x 2/3

= 10/3inches²

d) 7/6 inch and 6/7inch

Let,

Length = 7/6inch

Width = 6/7inch

Since,

Area of Rectangle = length x width

= 7/6 x 6/7

= 1 inches²

Hence, The following area of rectangles are 5/3inches², 20/3inches², 10/3inches² and 1 inches²

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The areas of the rectangles with the given side lengths are 5/3 , 20/3 , 10/3 and 1 square inch, respectively.

a. For a rectangle with side lengths 5 inches and 1/3 inches:

Area_a = 5 * 1/3 = 5/3 square inches

b. For a rectangle with side lengths 5 inches and 4/3 inches:

Area_b = 5 * 4/3 = 20/3 square inches

c. For a rectangle with side lengths 5/2 inches and 4/3 inches:

Area_c = 5/2 * 4/3 = 10/3 square inches

d. For a rectangle with side lengths 7/6 inches and 6/7 inches:

Area_d = 7/6 * 6/7 = 1 square inch

In summary, the areas of the rectangles are:

Area_a = 5/3 square inches, Area_b = 20/3 square inches,

Area_c = 10/3 square inches, Area_d = 1 square inch.

These results represent the areas of the rectangles with the given side lengths.

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The question probable may be:

Find the areas of the rectangles with the following side lengths: a. 5 inches and 1/3 inches b. 5 inches and 4/3 inches c. 5/2 inches and 4/3 inches d. 7/6 inches and 6/7 inches.