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Answer to Q187:

From the diagram above, what is the area of the shaded parts?

We can take the squares roll by roll, starting from roll 1 (the topmost):

Roll 1:
The total area of roll 1 is 4 unit sq. (1 sq. unit x 4),
But the half of the area is not shaded so ¹⁄₂ x 4 sq, unit = 2 sq. unit
And also the first square as the bottom half not shaded = ¹⁄₂ x 1 sq. unit = ¹⁄₂ sq. unit

So, shaded part of roll 1 is = 2 sq. unit - ¹⁄₂ sq. unit = 1¹⁄₂ sq. unit

Roll 2:
We have a whole square and half of a square shaded = 1¹⁄₂ sq. unit

Roll 3:
We have only half of a square shaded = ¹⁄₂ sq. unit

Total area shaded = 1¹⁄₂ +1¹⁄₂ + ¹⁄₂ = 3¹⁄₂ sq. unit

Answer: 3¹⁄₂ sq. unit

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727 viewsJan 30, 2023 at 09:29

Answer to Q187:

From the diagram above, what is the area of the shaded parts?

We can take the squares roll by roll, starting from roll 1 (the topmost):

Roll 1:
The total area of roll 1 is 4 unit sq. (1 sq. unit x 4),
But the half of the area is not shaded so ¹⁄₂ x 4 sq, unit = 2 sq. unit
And also the first square as the bottom half not shaded = ¹⁄₂ x 1 sq. unit = ¹⁄₂ sq. unit

So, shaded part of roll 1 is = 2 sq. unit - ¹⁄₂ sq. unit = 1¹⁄₂ sq. unit

Roll 2:
We have a whole square and half of a square shaded = 1¹⁄₂ sq. unit

Roll 3:
We have only half of a square shaded = ¹⁄₂ sq. unit

Total area shaded = 1¹⁄₂ +1¹⁄₂ + ¹⁄₂ = 3¹⁄₂ sq. unit

Answer: 3¹⁄₂ sq. unit

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