I have 20 pieces of sod that are 1ft X 2ft and 20 pieces of sod that are 1ft X 3ft. How large a square in my garden can I put them on?
20 pieces of 1'x2' = 40 sq. ft
20 pieces of 1'x3' = 60 sq. ft
total area = 40+60 = 100 sq. ft.
How big a square can the garden be?
To determine the size of the square in your garden that can accommodate the sod, we need to calculate the total area of the sod pieces and find the square root of that area.
Let's break down the calculation step-by-step:
1. Calculate the area of each sod piece:
- For 20 pieces of sod measuring 1ft X 2ft, the area of each piece is 1ft * 2ft = 2 square feet.
- Similarly, for 20 pieces of sod measuring 1ft X 3ft, the area of each piece is 1ft * 3ft = 3 square feet.
2. Calculate the total area of all the sod pieces:
- For the 20 pieces of sod measuring 1ft X 2ft, the total area is 20 pieces * 2 square feet = 40 square feet.
- For the 20 pieces of sod measuring 1ft X 3ft, the total area is 20 pieces * 3 square feet = 60 square feet.
3. Add the total area of the two types of sod together:
- The combined total area is 40 square feet + 60 square feet = 100 square feet.
4. Find the square root of the total area:
- The square root of 100 square feet is 10 feet.
Therefore, the largest square in your garden that can accommodate all the sod pieces is a 10 ft by 10 ft square.