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

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Quadratic Equation Word Problem To Optimization (x) - 3-Sided Rectang...
1
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 15m of fencing.
What value of x would maximize the area of the parking lot?
a A LaTex expression showing x = 7.5m
b A LaTex expression showing x = 4.5m
c A LaTex expression showing x = 10.5m
2
A rectangular garden is built along x meters of a wall using a total of 16m of fencing.
What value of x would maximize the area of the garden?
a A LaTex expression showing x = 8m
b A LaTex expression showing x = 5m
3
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 25m of fencing.
What value of x would maximize the area of the parking lot?
a A LaTex expression showing x = 12.5m
b A LaTex expression showing x = 14.5m
c A LaTex expression showing x = 17.5m
4
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 29m of fencing.
What value of x would maximize the area of the parking lot?
a A LaTex expression showing x = 14.5m
b A LaTex expression showing x = 10.5m
5
A rectangular garden is built along x meters of a wall using a total of 18m of fencing.
What value of x would maximize the area of the garden?
a A LaTex expression showing x = 9m
b A LaTex expression showing x = 4m
c A LaTex expression showing x = 11m
6
A rectangular garden is built along x meters of a wall using a total of 21m of fencing.
What value of x would maximize the area of the garden?
a A LaTex expression showing x = 9.5m
b A LaTex expression showing x = 14.5m
c A LaTex expression showing x = 10.5m
7
A rectangular garden is built along x meters of a wall using a total of 22m of fencing.
What value of x would maximize the area of the garden?
a A LaTex expression showing x = 8m
b A LaTex expression showing x = 11m
c A LaTex expression showing x = 10m
8
A rectangular garden is built along x meters of a wall using a total of 29m of fencing.
What value of x would maximize the area of the garden?
a A LaTex expression showing x = 14.5m
b A LaTex expression showing x = 19.5m