Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to

where
L is the length
W is the width
we have


Remember that
1 yard= 3 feet
Convert yards to feet


The area is equal to

Answer: 
Step-by-step explanation:
Based on the description given in the exercise, you can draw the horizontal lines "e" and "f" cut by the vertical lines "a" and "b".
By definition, when a horizontal line and a vertical line intersect each other, the angle formed by this intersection measures 90 degrees.
A "Right angle" is defined as an angle that measures 90 degrees.
Therefore, if a vertical line intersects a horizontal line, you can say that they are perpendicular.
You can observe in the image attached that the vertical lines "a" and "b" cut the horizontal lines "e" and "f". Therefore, since
and
, all the angles formed by this intersections measure 90 degrees.
Therefore, you can conclude that:

Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
<h3>
Answer: 97/112</h3>
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How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112