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QuestionCalcular el área total usando la fórmula: =(4∗(5∗5/2))+(4∗25)+(4∗18)=(4 *(5 * 5 / 2))+(4 * 25)+(4 * 18) y encuentra el resultado.

Studdy Solution

STEP 1

Assumptions1. The total area is calculated by adding the areas of different parts of the shape. . Each part of the shape is a rectangle or a triangle.
3. The area of a rectangle is calculated by multiplying its length and width.
4. The area of a triangle is calculated by multiplying its base and height and dividing by.

STEP 2

First, we calculate the area of the triangles. There are4 triangles, each with a base of5 cm and a height of5 cm. The area of a triangle is given by the formulaAreatriangle=base×height2Area_{triangle} = \frac{base \times height}{2}

STEP 3

Now, plug in the given values for the base and height to calculate the area of one triangle.
Areatriangle=5×52Area_{triangle} = \frac{5 \times5}{2}

STEP 4

Calculate the area of one triangle.
Areatriangle=252=12. cm2Area_{triangle} = \frac{25}{2} =12. \, cm^2

STEP 5

Since there are4 triangles, we multiply the area of one triangle by4 to get the total area of the triangles.
Total Areatriangles=4×Areatriangle=4×12.5 cm2Total \, Area_{triangles} =4 \times Area_{triangle} =4 \times12.5 \, cm^2

STEP 6

Calculate the total area of the triangles.
Total Areatriangles=4×12.5 cm2=50 cm2Total \, Area_{triangles} =4 \times12.5 \, cm^2 =50 \, cm^2

STEP 7

Next, we calculate the area of the rectangles. There are4 rectangles, each with a length of25 cm and a width of1 cm. The area of a rectangle is given by the formulaArearectangle=length×widthArea_{rectangle} = length \times width

STEP 8

Now, plug in the given values for the length and width to calculate the area of one rectangle.
Arearectangle=25×1Area_{rectangle} =25 \times1

STEP 9

Calculate the area of one rectangle.
Arearectangle=25×=25 cm2Area_{rectangle} =25 \times =25 \, cm^2

STEP 10

Since there are4 rectangles, we multiply the area of one rectangle by4 to get the total area of the rectangles.
Total Arearectangles=4×Arearectangle=4×25 cm2Total \, Area_{rectangles} =4 \times Area_{rectangle} =4 \times25 \, cm^2

STEP 11

Calculate the total area of the rectangles.
Total \, Area_{rectangles} =4 \times25 \, cm^ =100 \, cm^

STEP 12

Finally, we add the areas of the triangles and rectangles to get the total area.
Total Area=Total Areatriangles+Total Arearectangles+4×18Total \, Area = Total \, Area_{triangles} + Total \, Area_{rectangles} +4 \times18

STEP 13

Plug in the values for the total area of the triangles and rectangles to calculate the total area.
Total Area=50 cm2+100 cm2+×18 cm2Total \, Area =50 \, cm^2 +100 \, cm^2 + \times18 \, cm^2

STEP 14

Calculate the total area.
Total Area=50 cm2+100 cm2+72 cm2=222 cm2Total \, Area =50 \, cm^2 +100 \, cm^2 +72 \, cm^2 =222 \, cm^2The total area of the shape is222 square centimeters.

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