A woman wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 27 feet of fencing, and she wants the length of the garden along the garage to be 6 feet more than the width. What are the dimensions of the garden?

Width = 3.75 feet

Length = 9.75 feet

Step-by-step explanation:

Given:

Length of fencing = 27 feet

Find:

Dimensions of the garden

Computation:

Assume

Width = x

So,

Length = x + 6

2(L+B) = Perimeter

2(x + x + 6) = 27

2(2x + 6) = 27

4x + 12 = 27

4x = 15

x = 3.75

Width = 3.75 feet

Length = 3.75 + 6 = 9.75 feet

What is the longest side?

square root of 1700

What is the square of the longest side?

1700

What is the sum of the squares of the two shorter sides?

1700

Does the window frame form right triangles?

Yes, the sum of the square of the two shorter sides equals the square of the longest side.