Answer:
Length = 20feet
Width = 10feet
Step-by-step explanation:
Area of a rectangle = LW
Perimeter P= 2(L+W)
L is the length
W is the width
If the length of a rectangle is twice as long as the width, then;
L = 2W
Substitute into the foemula
A = (2W)W
A= 2W²
If the area is 200ft², then;
200 = 2W²
100 = W²
W = √100
W = 10ft
Since L = 2W
L = 2(10)
L = 20ft
Hence the length of the rectangle is 20feet and the Width is 10feet
Answer:
$96.00
Step-by-step explanation:
Perimeter formula, 2w+2l
2(23)+2(25)=96 feet
1$ per foot
96 feet,
so $96
Hope this helps. Solution is attached on the image above.
Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4
