Answer:
Explanation:
To find the area of the playground, we need to multiply the width by the length. The width is represented by the expression 4x + 5 feet, and the length is represented by the expression 3x + 2 feet. To find the area, we can use the formula: Area = Width x Length Substituting the given expressions into the formula, we get: Area = (4x + 5) x (3x + 2) To simplify the expression, we can use the distributive property. This means we need to multiply each term in the first expression by each term in the second expression. Area = 4x * 3x + 4x * 2 + 5 * 3x + 5 * 2 Simplifying further, we get: Area = 12x^2 + 8x + 15x + 10 Combining like terms, we have: Area = 12x^2 + 23x + 10 Therefore, the expression that represents the area of the playground is 12x^2 + 23x + 10 square feet.