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:
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Step-by-step explanation:
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Step-by-step explanation:
Given that,
The length of the shelf = 24 inches
The width of the shelf = 7 inches
Area of the shelf, A = 24 × 7
= 168 inch²
When the width of the shelf is doubles,
New width = 14 inch
New area, A' = 14×24
= 336 inch²
It means,
A' = 2(A)
So, the new area becomes 336 inch² i.e. twice the initial area.
Answer:
probability=events over the sample space
Answer:
3. BDE is congruent to BAC; corresponding angles postulate
4. B is congruent to B; reflexive property of equality
Step-by-step explanation:
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