If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C
1 answer:
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Step-by-step explanation:
As a square with a perimeter of 40cm.
It means each side of the square has a length 10cm.
i.e.
P = 10+10+10+10
= 40cm
and
The total Area of the diagram of square = 10 × 10 = 100 cm²
Calculating the Shaded Area:
As the upper length of shaded side of the shape inside square = 7 cm
so the non-shaded length of upper side of the square = 10-7 = 3cm
so
the area of left sided un-shaded triangle = 1/2 * b * h
= (3 * 10)/2
Similarly, the right sided length of shaded side inside the square = 4 cm
so the non-shaded right sided-length of the square = 10-4 = 6cm
the area of right sided un-shaded triangle = 1/2 * b * h
= (10 * 6)/2
Therefore, the area inside the square that is shaded is:
∵
cm²
So, the percentage of the total area inside the square
that is shaded = 55%.
And the percentage of the total area inside the square
that is non-shaded = 100 - 55 = 45 cm² ∵ Total Area - shaded Area
Therefore, the percentage of the total area inside the square
that is shaded = 55%.