Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W

Now we find out x coordinate of vertex to find the width that maximize the area

a= -2 and b = 400

The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)


the maximum area is 20,000 square feet
Answer:
12.5cm
Step-by-step explanation:
Each side of the pentagonal garden has a length of 2.5 cm.
A pentagon has 5 sides.
Since the garden has congruent sides, all its lengths are equal.
Therefore:
Distance Walked by Tanya
= 5 X 2.5
=12.5cm
Tanya has walked 12.5cm in total.
Since the scale is 15 miles per inch all you need to do is multiply.
2in(15)=30
The cities are 30 miles apart.
Answer:
☑ Answer is 6
Step-by-step explanation:

» But this is a ratio, so it can be expressed in terms of fractions:

» Divide both the denominator and numerator by 9:

Answer:
17 cubes
Step-by-step explanation:
first we do the volume of the rectangular prism to get 135/64.then we do the area of the cube to get 1/8 and now to get how many cubes it fills the prism. 135/64 divide by 1/8 you get 16.8 round off you get 17