Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
L is the length of the rectangle:
W is the width of the rectangle.
Given
Perimeter = 214feet
If the length is 41 ft longer than the width, then L = 41+W
Substitute L = 41+W into the formula:
P = 2(L+W)
214 = 2(41+W+W)
214 = 2(41+2W)
214 = 82+4W
4W = 214-82
4W = 132
W = 132/4
W = 33 feet
Since L = 41+W
L = 41+33
L = 74 feet
Hence the dimension of the field is 74ft by 33ft
<em>The width of the playing field is 33feet</em>
She could have hiked one 2 mile trail and one 1 mile trail or she could’ve hiked one 2.5 mile trail and another 0.5 mile trail
The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>

(3.5) (14) + 2</span><span>

(3.5)^2
If we simplify this expression, we get:
98</span><span>

+ 24.5</span><span>

If you simplify once more, you get
122.5</span><span>

or </span><span>≈ 384.85
Therefore, the surface area is 122.5</span>

or about 384.85<span>
</span>
There are no obtuse angles
Answer:
9.71 miles
Step-by-step explanation:
total miles he ran = 6.19 + 3.1 = 9.29
Target = 19 miles
Goal for sunday = 19 - 9.29 = 9.71