The dimensions of the rectangle whose length and width must have a sum of 70 are 35 cm and 35 cm respectively.
<h3>What is rectangle?</h3>
A rcetangle is a plane shape that has pair of opposite side equal and parallel.
To calculate the dimension of rectangle that will have the maximum area, we find the first derivation of the function representing the area of the rectangle, and then equate it to zero.
- f(x) = x(70-x)
- f(x) = 70x-x²
At the maximum area,
Therefore,
Solve for x
The dimensions of the rectangle are
- Length = 35 cm
- Width = (70-35) = 35 cm.
Hence, the dimensions of the rectangle are 35 cm and 35 cm respectively.
Learn more about rectangle here: brainly.com/question/25292087
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