For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
Answer:
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
Step-by-step explanation:
Area of a rectangle 1=L*W
Area=31/9*4 2/3
Area=28/9*14/3=14.518 inches^2
Area of a rectangle 1=l*w
area=11/3*21/5
Area=15.4
Area of a rectangle 2 is more by 0.88 inche^2
The area is 20.5632 cm sq.
Lets break it down:
Triangle- the area of a triangle is bh/2 (base×height÷2). If we plug in the numbers, the base is 4.8 and the height is 4.8. 4.8×4.8= 23.04÷2= 11.52
Semi circle- the area of the semi circle is pi×radius×radius. We have the diameter (4.8) so we would need to divide 4.8 by 2 to get 2.4. 2.4×2.4×3.14= 18.0864. We need to divide that by 2 because its a semi circle so 18.0864÷2= 9.0432
11.52+9.0432= 20.5632 cm sq.
hope this helps!
Answer:
Step-by-step explanation:
It's not exactly true.
Suppose s = 4
It is a factor of 16. The greatest common factor between 4 and 16 is not 16. It would only be 4.
So the answer to the question is false.
