The maximum area of the rectangle will be 242 square ft. The expression for a in terms of x will be 44 - 2x. Then the correct option is C.
What is a rectangle?
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the a, b, and x are 44 ft. Then the expression for a in terms of x will be
We know that b = x
Then we have
a + b + x = 44
a + 2x = 44
a = 44 - 2x
Then the area opf the rectangle will be
Area = (44 - 2x)x
Area = 44x - 2x²
For maximum area the value of x will be 11. Then we have
Area = 44 × 11 - 2 × 11²
Area = 242 square ft
More about the square link is given below.
https://brainly.com/question/10046743
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