A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga
rden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). Find the total length of border needed. 8ft 12ft 16ft 24ft
1 answer:
1. To solve this exercise you must plot the vertices of the rectangle: (3,9);(5,9); (3,3); (5,3). The graph is shown in the figure attached.
<span>
2. As you can see in the graph, the rectangle has 6 feet long (L=6 feet) and 2 feet wide (W=2 feet).
3. Then, the perimeter of the rectangle is:
P=2L+2W
4. When you substitute the values of "L" and "W" into </span>P=2L+2W<span>, you obtain:
P=2(6 feet)+2(2 feet)
P=12 feet+4 feet
P=16 feet
Therefore, the total length of border needed is 16 feet.</span>
<span>
2. As you can see in the graph, the rectangle has 6 feet long (L=6 feet) and 2 feet wide (W=2 feet).
3. Then, the perimeter of the rectangle is:
P=2L+2W
4. When you substitute the values of "L" and "W" into </span>P=2L+2W<span>, you obtain:
P=2(6 feet)+2(2 feet)
P=12 feet+4 feet
P=16 feet
Therefore, the total length of border needed is 16 feet.</span>
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M∠X = 54.3°.
Using the Law of Sines, we have:
Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
Using the Law of Sines, we have:
Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X