Answer:
2/6 square units
Step-by-step explanation:
What is the area of a rectangle with side lengths of 1/2 and 2/3
Step one:
given data
L= 1/2 units
W=2/3 units
Step two:
Area= L*W
substitute
Area= 1/2*2/3
Area=2/6 square units
Answer:
1.333333333
Step-by-step explanation:
36/60, now reduce.
9/15, reduce more
3/5, so 3.5 of the students chosen at random used a calculator for computation.
See, when you are traveling, you might get lost. if so, just remember "I need to go between _ and _ miles" estimating and rounding to the nearest number with 0 wiil help.
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.
_____
<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).