Answer:
See below.
Step-by-step explanation:
Triangle:
The area for a triangle is given by the formula:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the length of the base and h is the vertical height.
We can see that the base length is (2x+4) and the height is (x+3). So, the expression for the area would be:
[tex]\frac{1}{2}(2x+4)(x+3)[/tex]
Rectangle:
The perimeter of a rectangle is given by the formula:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We can see that the length is 2x-1 and the width is 3x+2. Thus, the perimeter is:
[tex]2(2x-1)+2(3x+2)[/tex]
For the area, the formula is:
[tex]A=lw[/tex]
So, the expression for area would be:
[tex](2x-1)(3x+2)[/tex]
Rectangular Prism:
The volume for a rectangular prism is given by the formula:
[tex]V=lwh[/tex]
The length is (x+2), the width is (x), and the height is (2x+1). Thus:
[tex]x(x+2)(2x+1)[/tex]
