The volume of a rectangular prism can be found from the formula V=B•h
The base is the triangle
The area of the triangle can found using A=b•1/2h
13•1/2(8)=52
V=52 x h
52•9=468
468in^2
The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²
<h3>What is the area of the rectangle?</h3>
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Area of a larger rectangle
= Length × Width
= 18 × 12
= 216 in.²
Area of the smaller rectangle
Length = 12 - 2 - 2 = 8 in.
Width = 18 - 2 - 2 = 14 in.
= Length × Width
= 8 × 14
= 112 in.²
Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle
= 216 - 112
= 104 in.²
Hence, the area of the shaded region of this figure is 104 in.²
Learn more about the area;
brainly.com/question/2289492
44.85 * 9.84 = 441.2256
88.6 * 5.01 = 443.886
X<y
y is 1 more than 2 times the smaler
y=1+2 times x
y=1+2x
3 times y is bigger than 5 times x by 10
3y=5x+10
subsitute
y=1+2x
3(1+2x)=5x+10
3+6x=5x+10
subtract 3 from both sides
6x=5x+7
subtract 5x from both sides
x=7
subsitute
y=1+2x
y=1+2(7)
y=1+14
y=15
x=7
y=15
