You decide to put a wallpaper border all the way around one wall of your bedroom. The length of the wall is x feet. The height of the wall is one-third of the length plus an additional four feet. Write an expression for the perimeter of the wall.
(1/3x + 4) feet
(2/3x + 8) feet
(1 1/3x + 4) feet
2 2/3x + 8) feet
A glass window pane on the front side of a greenhouse needs to be replaced. The window is shaped like an isosceles triangle with a base length of 8 feet and a height of (2x+2) feet. Write an expression to find the area of the window pane. Formula: the area of a triangle = 1/2 bh where b is the base and h is the height.
(8x+8) square feet
(8x + 16) square feet
(16x + 16) square feet
(16x + 8) square feet
Is this Connexus?
its algebra
I mean which school
thats uh, private?
Ok, hope you don't violate your school's code of conduct :(
I'm not sure so here are my answers.
1. 2x + (2x/3 + 8)
2. c
Hope this helps...:|
For the first question, we are asked to write an expression for the perimeter of the wall. The length of the wall is given as x feet, and the height of the wall is one-third of the length plus an additional four feet, which can be written as (1/3x + 4) feet.
To find the perimeter of the wall, we need to add up all the sides of the wall. In this case, there are two lengths and two heights.
The two lengths are x feet each, so their total length is 2x feet.
The two heights are (1/3x + 4) feet each, so their total height is 2(1/3x + 4) feet.
Therefore, the perimeter of the wall can be expressed as 2x + 2(1/3x + 4) feet.
Simplifying this expression, we get (2/3x + 8) feet.
So, option B, (2/3x + 8) feet, is the correct expression for the perimeter of the wall.
For the second question, we need to write an expression to find the area of the window pane, which is shaped like an isosceles triangle.
The base length of the triangle is given as 8 feet, and the height is given as (2x+2) feet.
To find the area of a triangle, we use the formula: area = (1/2) * base * height, where b is the base and h is the height.
Substituting the given values, we have:
area = (1/2) * 8 * (2x+2) square feet
Simplifying this expression, we get:
area = 4 * (2x+2) square feet
Expanding further, we get:
area = 8x + 8 square feet
So, option A, (8x+8) square feet, is the correct expression for the area of the window pane.