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Katen [24]
3 years ago
9

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. if the developer has 256 feet of f

encing and does not fence the side along the​ street, what is the largest area that can be​ enclosed?
Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Let the lenght perpendicular to street = x

Means lenght two sides will be x and x

Another side of retangle will be = 256 - 2x

Area of rectangle will be= A = x * (256-2x) = 256 x - 2 x^2

For maximum area, dA/dx = 0

d/dx (256 x - 2 x^2) = 0

256 - 4 x = 0

4 x = 256

x = 64 feet

Means one side is 64 feet

Another side will be = 256 - 2 * 64 = 128

Now we have two sides of rectangle 64 and 128

Area = 128 * 64 = 8192 square feet : Answer

Hope it will help :)

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8 0
3 years ago
2. Tessa used the computer every day. Her mother said Tessa could only use the
Vlada [557]

Answer:

3/4 of an hour

Step-by-step explanation:

To find the leftover time, subtract the total allotted time by the time used.

First make sure they have common denominators.

1 1/2 = 3/2 = 6/4

6/4 - 3/4 = 3/4

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7 0
3 years ago
8.
Umnica [9.8K]
The answer you are looking for is 12! have a great day!:)
6 0
3 years ago
HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
aev [14]

Answer:

A: 360

Step-by-step explanation:

Split the trapezoid into 2 shapes

Then find the area of the rectangle on the left:

18 × 15 = 270 square yards

Now for the triangle, first find the base by subtracting the 2 parallel lines:

25 - 15 = 10 yards

0.5(10 × 18) = 90 square yards

Add both areas to find total area:

270 + 90 = 360 square yards

All this can be seen in the figure below:

6 0
3 years ago
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
Kitty [74]
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 :)
7 0
4 years ago
Read 2 more answers
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