Answer:
The area of the polygon is 42
.
Step-by-step explanation:
A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.
From the given figure, the area of the shaded polygon can be calculated by;
Area of polygon = Area of square - Sum of areas given
Sum of areas given = 24 + 30 + 48
= 102
The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:
Area of square = length × width
= 12 × 12
= 144
Area of polygon = 144 - 102
= 42
The area of the polygon is 42.
You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1
So
factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) =
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =
Combine like terms
I’m more than happy to help you
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
<h3>What is volume of a shape?</h3>
Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
learn more on volume here: brainly.com/question/1578538
