Answer:
Step-by-step explanation:
(1/4)*sum of lengths of bases = Height of trapezoid
(1/4)*(a + b) = 2 1/2
= 12.5 ft²
The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.
<h3>How do we solve the nonnegative real numbers?</h3>
Let the two numbers be x and y.
Thus, if their sum is 64, then we have;
x + y = 64
y = 64 - x
Their product will be;
P = xy
Putting (64 - x) for y in the product equation we have;
P = (64 - x)x
P = 64x - x²
Since the product is maximum, let us find the derivative;
P'(x) = 64 - 2x
At P'(x) = 0, we have;
64 - 2x = 0
2x = 64
x = 64/2
x = 32
Thus; y = 64 - 32
y = 32
Read more about nonnegative real numbers
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Yes, they are. The correct answer is the middle answer on the picture.