The area of the house is the amount of space on the house.
- The length of the addition is x + 20
- The area of the original house is
<h3>The length of the addition</h3>
The area of the addition is given as:
Expand
Factorize
Factor out x + 20
The width of the addition is x - 10.
Hence, the length of the addition is x + 20
<h3>The area of the original house</h3>
The dimension of the original house is
x + 20 by x + 10
So, the area is:
Expand
This gives
Hence, the area of the original house is
Read more about areas at:
brainly.com/question/24487155
Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
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<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).
Answer:
x = 27976.22021
Step-by-step explanation:
10x + .0085x = 280000
Combine like terms
10.0085x = 280000
Divide by 10.0085 on each side
10.0085x /10.0085= 280000/10.0085
x = 27976.22021
You have 28 meters of fence to make 3 sides.
28/3 = 9.3333
The pen will be 9.3333 by 9.3333 meters