The area of the irregular polygon in the sketch is: D. 40.5 cm².
To find the area of an irregular polygon, decompose the polygon into known shapes. Find the area of each shape and add all together.
Thus:
The irregular polygon is made up of a rectangle and a triangle.
Area of the irregular polygon = area of rectangle + area of triangle.
= length × width + 1/2(base × height)
Length = 12.5 cm
Width = 3 cm
Base = 3 cm
Height = 2 cm
Area of the irregular polygon = 12.5 × 3 + 1/2(3 × 2)
= 40.5 cm²
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Answer:
The answer is 40.5 (D)
Answer:
Lateral surface area of the cylinder=
Step-by-step explanation:
Lateral surface area of the cylinder is the area of the side wall excluding its top and the bottom:
Radius=10 feet
Height=6 feet
Lateral surface area of the cylinder =
As,
Putting the values in the formula:
L.S.A of the cylinder=
Lateral surface area of the cylinder=
and the answer i got was 26=x i really dont think that sounds right but any help would be awesome!!!
Hence Surface are of pyramid is
A pyramid with base as square is said square pyramid
Formula to calculate surface area=
where a =4 ,h=7
=
= 16+
=16+8*7.28
=16+58.24
=
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The surface area of the right square pyramid is calculated by adding the area of the square base (16 square inches) and the combined area of the triangular faces (56 square inches). Hence, the total surface area of the pyramid is 72 square inches.
To calculate the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular sides. Firstly, the area of the square base is found using the formula A = s², where s is the side length. In this case, the base area (A) would be 4² = 16 square inches.
Secondly, to find the area of a single triangular face you use the formula A = 0.5*base*height, in this case, the base is the same as the square base and the height corresponds to the slant height (7 inches). Thus, the area for one triangle would be 0.5*4*7 = 14 square inches. As the pyramid has four equal triangular faces, to find the total area of these faces you would multiply 14 by 4 giving 56 square inches.
Finally, to find the total surface area of the pyramid, you add the base area and the area of the triangular faces together, which results in 16 + 56 = 72 square inches.
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