The expression to find the total area of a square courtyard divided into four equal spaces is 4(s²), where s is the side length of one space. For side lengths of 5 feet, the total area is 100 square feet.
The question involves finding the total area of a square courtyard by using algebraic expressions with exponents. Given that the courtyard is separated into 4 equal spaces with a side length of 8 feet, the total area can be found by squaring the side length of one space and multiplying by 4, because the area of a square is s² where s is the side length. Hence, the expression for the total area is 4(s²). If each smaller space is 5 feet on each side, then the total area is 4(5²) = 4(25) = 100 square feet.
The expression that shows the total area of the courtyard is 8², since the length of one side of each space is 8 feet. To find the total area, we need to square the length of one side. When the length of one side is 5 feet, the total area of the courtyard would be 5² * 4, which simplifies to 100 square feet.