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The figure given below shows 8 identical triangles in 2 squares each of side 10 cm. Find the area of all the shaded triangles.
- a)200 cm2
- b)150 cm2
- c)125 cm2
- d)100 cm2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The figure given below shows 8 identical triangles in 2 squares each o...
The correct answer is option 'D'. The shaded triangles are the difference between the area of the large square and the area of the small square. The area of the large square is 10cm x 10cm = 100cm^2 and the area of the small square is 8cm x 8cm = 64 cm^2. Therefore, the area of the shaded triangle is 100cm^2 - 64 cm^2 = 36 cm^2. Since there are 8 identical shaded triangles, the total area of all the shaded triangles is 8 x 36 cm^2 = 288 cm^2.
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Most Upvoted Answer
The figure given below shows 8 identical triangles in 2 squares each o...
To find the area of the shaded triangles, we need to calculate the area of one triangle and then multiply it by 8 since there are 8 identical triangles.
1. Calculating the area of one triangle:
The triangles are identical, so they all have the same dimensions. Let's call the base of the triangle b and the height h. We can see that the base of the triangle is equal to the side length of one of the squares, which is 10 cm. The height of the triangle is equal to the side length of the other square, which is also 10 cm.
The formula for the area of a triangle is A = 1/2 * base * height. Plugging in the values, we get:
A = 1/2 * 10 cm * 10 cm
A = 1/2 * 100 cm^2
A = 50 cm^2
2. Multiplying the area of one triangle by 8:
Since there are 8 identical triangles, we need to multiply the area of one triangle by 8 to get the total area of all the shaded triangles.
Total area = 50 cm^2 * 8
Total area = 400 cm^2
Therefore, the correct answer is option 'D' - 100 cm^2.
1. Calculating the area of one triangle:
The triangles are identical, so they all have the same dimensions. Let's call the base of the triangle b and the height h. We can see that the base of the triangle is equal to the side length of one of the squares, which is 10 cm. The height of the triangle is equal to the side length of the other square, which is also 10 cm.
The formula for the area of a triangle is A = 1/2 * base * height. Plugging in the values, we get:
A = 1/2 * 10 cm * 10 cm
A = 1/2 * 100 cm^2
A = 50 cm^2
2. Multiplying the area of one triangle by 8:
Since there are 8 identical triangles, we need to multiply the area of one triangle by 8 to get the total area of all the shaded triangles.
Total area = 50 cm^2 * 8
Total area = 400 cm^2
Therefore, the correct answer is option 'D' - 100 cm^2.
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The figure given below shows 8 identical triangles in 2 squares each of side 10 cm. Find the area of all the shaded triangles.a)200 cm2b)150 cm2c)125 cm2d)100 cm2Correct answer is option 'D'. Can you explain this answer?
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