Final answer:
To find the dimensions of Mary's rectangular flower garden, we can use the formulas for perimeter and area of a rectangle. Setting up a system of equations, we can solve for the dimensions.
Step-by-step explanation:
To find the dimensions of Mary's rectangular flower garden, we can use the formulas for perimeter and area of a rectangle.
Let's assume the length of the garden is L units and the width is W units. The perimeter is given as 70 meters, so we can write the equation:
2L + 2W = 70
The area is given as 300 square meters, so we can write the equation:
L * W = 300
Now, we have a system of two equations with two variables. We can solve this system to find the dimensions of the garden.
First, let's solve the first equation for L:
L = (70 - 2W) / 2
Substitute this value of L into the second equation:
(70 - 2W) / 2 * W = 300
Simplify and solve the quadratic equation to find the values of W. Then substitute these values back into the first equation to find the corresponding values of L.
Once we have the dimensions, we can determine which option matches the dimensions of the garden.