Mark deposited $9,000 into two saving accounts bearing simple interest. One of the accounts has an interest rate of 8% while the
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Scale factor of area is the square of the scale factor of length
The required values are;
- The length of one sides of the garage was originally approximately <u>19.2 ft.</u>
- The length of one of the sides of the garage is now approximately <u>23.6 feet</u> long
- The percentage increase in length is approximately <u>22.5 %</u>
Reason:
The given parameters are;
The area of the square garage = 370 ft.²
The area of the new garage has 50% more space
Required;
Part A
The initial side length
The initial side length, given to the nearest tenth, <em>s</em>, is the square root of the area, <em>A</em>, given as follows;
- s = √(370 ft.²) ≈ 19.2 ft.
Part B
The side was increased by 50%, to give,
370 + 0.5×370 = 555
The new area of the garage = 555 ft.²
The side length of the new garage, s = √(555) ≈ 23.6
- The side of the garage now is 23.6 ft.
Part C
The percentage increase is given as follows;
- The percentage increase in length of the side of the garage is approximately 22.5 %
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Answer:
It can be decomposed into the following simplest shapes:
TWO RECTANGLES AND ONE TRIANGLE
Step-by-step explanation:
You can observe in the picture attached that it can be decomposed into the following simplest shapes:
Two Rectangles.
One Triangle.
Because,
The area of the a rectangle can be found with:
A= lw
Where "l" is the length and "w" is the width.
You can identify in the picture that:
lA: 14 ft
Wa: 13ft -7ft= 6ft
1b= 20 ft
wb= 7ft
So, Substituting the values, you get that the areas of the rectangles A and B are:
Aa: (14ft) (6ft)= 84ft²
Ab: (20ft) (7ft) = 140ft²
The formula for the area of a triangle is:
A=
Where "b" is the base and "h" is the height.
In this case:
b= 20ft- 14ft= 6ft
h= 6ft
Then, its area is:
Ac =
which iis 18ft²
Then, it will bring the total area of carpet that Valerie needs:
At= Aa+ Ab+ Ac
At= 84ft² + 140ft² + 18ft²
At= 242²