Answer: the length is 87 feet
The width is 40 feet
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 254 ft. This means that
254 = 2(L + W)
L + W = 254/2
L + W = 127 - - - - - - - - - - - -1
The length is 47 ft longer than the width. This means that
L = W + 47
Substituting L = W + 47 into equation 1, it becomes
W + 47 + W = 127
2W + 47 = 127
2W = 127 - 47 = 80
W = 80/2 = 40
L = W + 47 = 40 + 47
L = 87
We know that 1 ft= 1/3 yd.
2 ft* (1/3 yd/ 1 ft)* ($12.99/ 1 yd)= $8.66
(Note that the units cancel out so you get the answer)
2 ft of fabric will cost $8.66~
Answer:
21.07 yd^2
Step-by-step explanation:
The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.
The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.
area of shaded region = area of rectangle - area of semicircle
A = LW - (1/2)(pi)r^2
A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2
A = 98 yd^2 - (1.57)(49 yd^2)
A = 98 yd^2 - 76.93 yd^2
A = 21.07 yd^2
