Quadratic Equation Word Problem To Optimization (y) - 3-Sided Rectangle

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Quadratic Equation Word Problem To Optimization (y) - 3-Sided Rectangle Worksheet

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Quadratic Equation Word Problem To Optimization (y) - 3-Sided Rectang...
1
A rectangular garden is built along x meters of a wall using a total of 26m of fencing.
What is the maximum possible area of the garden?
a A LaTex expression showing A = 81.5m to the power of 2
b A LaTex expression showing A = 84.5m to the power of 2
c A LaTex expression showing A = 89.5m to the power of 2
2
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 29m of fencing.
What is the maximum possible area of the parking lot?
a A LaTex expression showing A = 102.125m to the power of 2
b A LaTex expression showing A = 108.125m to the power of 2
c A LaTex expression showing A = 105.125m to the power of 2
3
A rectangular garden is built along x meters of a wall using a total of 29m of fencing.
What is the maximum possible area of the garden?
a A LaTex expression showing A = 105.125m to the power of 2
b A LaTex expression showing A = 103.125m to the power of 2
c A LaTex expression showing A = 106.125m to the power of 2
4
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 26m of fencing.
What is the maximum possible area of the parking lot?
a A LaTex expression showing A = 79.5m to the power of 2
b A LaTex expression showing A = 83.5m to the power of 2
c A LaTex expression showing A = 84.5m to the power of 2
5
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 25m of fencing.
What is the maximum possible area of the parking lot?
a A LaTex expression showing A = 76.125m to the power of 2
b A LaTex expression showing A = 78.125m to the power of 2
c A LaTex expression showing A = 81.125m to the power of 2
6
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 28m of fencing.
What is the maximum possible area of the parking lot?
a A LaTex expression showing A = 101m to the power of 2
b A LaTex expression showing A = 98m to the power of 2
c A LaTex expression showing A = 95m to the power of 2
7
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 21m of fencing.
What is the maximum possible area of the parking lot?
a A LaTex expression showing A = 50.125m to the power of 2
b A LaTex expression showing A = 55.125m to the power of 2
8
A rectangular garden is built along x meters of a wall using a total of 25m of fencing.
What is the maximum possible area of the garden?
a A LaTex expression showing A = 79.125m to the power of 2
b A LaTex expression showing A = 78.125m to the power of 2