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alexandr402 [8]
3 years ago
14

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 (2, 5) (8, 5) (8, 3) and (2, 3). Find the total length of border needed. 12ft 16ft 24ft 100ft
Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

16 feet

Step-by-step explanation:

Kamila [148]3 years ago
6 0
Answer: 16 ft

Explanation:

You can determine the lengths of each segment by subtracting the coordinates of the adjacent points.

1) From (2,5) to (8,5): 8 - 2 = 6

2) From (8,5) to (8,3): 5 - 3 = 2

3) From (8,3) to (2,3): 8 - 2 = 6 (as expected as this is congruent to the first

4) From (2,3) to (2,5): 5 - 3 = 2 (as expected as this is congruent to the second).

The total length of the border or perimeter is equal to the sum of all the sides:

perimeter = 6 + 2 + 6 + 2 = 16

Therefore the answer is 16 ft
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The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
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The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

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