A pumpkin is launched directly upwards at 72 feet per second from a platform 12 feet high. The pumpkin's height, h, at time t se
1 answer:
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Answer:
Step-by-step explanation:
GIVEN: A farmer has of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be and
perimeter of rectangular pen
area of rectangular pen
putting value of
to maximize
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen
width of rectangular pen
Maximum area of rectangular pen
Hence maximum area of rectangular pen is and dimensions are
Answer:
82.5 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 7.5, b₁ = 7 and b₂ = 15 , then
A = × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²