A family decides to grow flowers in their garden. They have 56 feet of fence they want to cut into two pieces to make two square gardens. How long should each piece be if they want the total area of the squares to be 10 square feet?

Question

A family decides to grow flowers in their garden.  They have 56 feet of fence they want to cut into two pieces to make two square gardens.  How long should each piece be if they want the total area of the squares to be 10 square feet?

jhonyy9 · Answer

so i think than you drawing it will be more understandably - ok. ?

jhonyy9 · Answer

so you know that area of a square is side time side - yes ?

jhonyy9 · Answer

and they wan to make two square gardens

jhonyy9 · Answer

so 56 feet fence divide by 2 - for theses two gardens will get 28+28 feet of fence 

but the total area wan being 10 square feet 

how can you cutting this piece for get this area of 10 square garden ?

mathmale · Answer

Yes, it'd be a good idea to draw a diagram showing the 2 separate, square gardens.
Let the length of one side of one of the gardens be x and the same for the other garden be y.

What is the perimeter of the first garden?   of the second?

The two perimeters add up to what sum?

What is the area of the first garden, expressed symbolically?  of the second?

What is the sum of these two areas?

If you've come this far, you'll have 2 equations in two unknowns, x and y, and should be able to solve this system of equations for x and y.