You need to find a common denominator that fits both 1/4 and 5/6. We know that 12 fits both, so we multiply each to get it, for example:
1/4 = 3/12
5/6 = 10/12
Now we say 3/12 + 10/12 = 13/12 and simplify to get 1 1/12
Area = (18 + 4.5π) cm²
Perimeter = (6√2 + 12 + 3π) cm
The shaded region given is made up of triangle ABC and a semicircle
AB = BC = 6 cm (note that the triangle is a portion of a square)
Diameter of semi-circle (d) = BC = 6cm
Radius (r) = ½*6 = 3 cm
==>Area of the shaded region in terms of π
Area of shaded region = area of triangle + area of semicircle
Area = ½*a*b + ½*πr²
Area = ½*6*6 + ½*π3²
Area = 18 + ½*π9
Area = 18 + 4.5π
<em>Area of the shaded portion = (18 + 4.5π) cm²</em>
==>Perimeter of shaded region in terms of π
Perimeter of shaded region = perimeter of triangle + perimeter of semicircle
= Sum of all sides of the triangle + ½πd
Sides of triangles are AB = 6 cm, BC = 6 cm
Use Pythagorean theorem to find side AC:
AC² = AB² + BC²
AC² = 6² + 6² = 36 + 36 = 72
AC = √72 cm
Perimeter of shaded triangle = √72 + 6 + 6 = √72 + 12 = (6√2 + 12) cm
Perimeter of semicircle = ½*πd = ½π6
<em>Perimeter of the whole shaded region in terms of π = (6√2 + 12 + 3π) cm</em>
The answer would be eight inches.
So, to solve this you have to find the missing number. To find volume, we have to multiply length, width, and height. So, we already have length and width, which together equals 64. So now what x 64 = 512. That answer would be eight.
I hope I helped.
Brainliest is appreciated.