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Anit [1.1K]
3 years ago
14

The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an ine

quality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.

Mathematics
2 answers:
Kitty [74]3 years ago
7 0
Answer:
length = 31 ft
width = 19 ft

Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12

The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w

Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.

Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft

Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft

Hope this helps :)
Lynna [10]3 years ago
4 0
To answer this question you will write an equation using 100 as the perimeter and w + 12 as the length.

See attached picture for this work.

The biggest width would be 19 feet. The inequality shows that the width would need to be at 19 feet or lower.

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The following table shows the length and width of two rectangles:
faltersainse [42]
The perimeter of these can be found by adding length and width and then multiplying by two. 

Rectangle A: (with all of the variables already doubled)
2x + 16 + 2x - 2 
2x + 2x + 16 - 2
4x + 14
So rectangle A's perimeter is 4x + 14.

Rectangle B: (Still with all the variables already doubled)
8x + 10 + 6x - 4
8x + 6x + 10 - 4
14x + 6
So rectangle B's perimeter is 14x + 6

And now to subtract the two.
(7x + 3) - (4x + 14)
14x + 6 - 4x - 14
14x - 4x + 6 - 14
10x - 8

So it would be C.
5 0
3 years ago
1) the point where the x abd y axis meet 2) if m< A + m<D = 90, then <A and D are ____ angles 3) an angle formed by opp
Brums [2.3K]

1. The point where x and y axis meet is the intersect, origin of the coordinate system (0,0)

2. m<A and m<D = 90 then <A and D are  complementary angles

3. 180 angle or linear rays

4. Obtuse angle measure more than 90

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8 0
3 years ago
Mike runs cross country. He runs 7 miles in 56
kondor19780726 [428]
It will take him 120 mins as he runs 8 minute miles
4 0
3 years ago
HOW TO DO THIS QUESTION ​
sdas [7]

Answer:

A ≈ 40.3 cm²

Step-by-step explanation:

The area of right Δ ACD is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Here A = 50.5, b = CD and h = AC , then

\frac{1}{2} × 14 × AC = 50.5

7 AC = 50.5 ( divide both sides by 7 )

AC ≈ 7.214

The area of Δ ABC is calculated as

A = \frac{1}{2} × BC × AC × sin36°

  = 0.5 × 19 × 7.214 × sin36°

  ≈ 40.3 cm² ( to 3 sf )

3 0
2 years ago
Read 2 more answers
Pleaseeee Select the expression that correctly calculates the perimeter of this shape. 7 cm 7 cm​
jasenka [17]
77 I hope this helps bye
7 0
3 years ago
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