SOLUTION: Green Leaf Landscaping is planting a rectangular wildflower garden with a perimeter of 6m and a diagonal of sqrt5 m. Find the dimensions of the garden

Question 137052: Green Leaf Landscaping is planting a rectangular wildflower garden with a perimeter of 6m and a diagonal of sqrt5 m. Find the dimensions of the garden
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The perimeter is and we know that is equal to 6. Half of the perimeter is 3, but that is also . Knowing that we can write

We also know that L, W, and the diagonal of the rectangle form a right triangle, so:

But since :

Just expand the binomial, collect like terms, put the equation into standard form, and solve the quadratic for W. L follows directly from knowing W. Hint: The quadratic factors easily.
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