The pasture is in the shape of a rectangle only the widths are marked.
a. Let x be the width of the pasture as labeled. Write an expression for the length in terms of x.
b. Write an expression for the area of the pasture in terms of x.
(a) the hedge along the length . we need to consider the three sides for fencing.
To find the length we use the given information
Dennis plans to use 1150 ft of fence to enclose a rectangular pasture.
Perimeter of rectangle = 2L + 2W
the hedge along the length, so we perimeter becomes L + 2W
Perimeter = L +2W, Width is x and perimeter is 1150
1150 = L + 2x ( subtract 2x on both sides)
So length L = 1150 - 2x
(b)Area of rectangle = length * width
We got L = 1150 -2x and we know width is x
Area = (1150-2x)*x
square feet
Answer: y = x^{2} - 16
Step-by-step explanation: Work backwards to find the factors from the root, then multiply the factors together.
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
Replace the known values:
![A=(4)(6)\\ A=24](https://tex.z-dn.net/?f=A%3D%284%29%286%29%5C%5C%20A%3D24)
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
![A=(24)(30)\\ A=720](https://tex.z-dn.net/?f=A%3D%2824%29%2830%29%5C%5C%20A%3D720)
And last but not least, don't forget to put the unit!