Question

find the area.
area of □ = ? in²
area of □ = in²
remember: a□ = s²
area of figure = in²

Explanation:

Step1: Calculate the area of the square

The side length \(s\) of the square is \(4\) in. Using the formula \(A = s^{2}\), we have \(A_{square}=4\times4 = 16\) \(in^{2}\).

Step2: Calculate the area of the rectangle

The width of the rectangle is \(2\) in and the height is \(7\) in. Using the formula \(A = l\times w\) (where \(l\) is length and \(w\) is width), we have \(A_{rectangle}=2\times7=14\) \(in^{2}\).

Step3: Calculate the total area of the figure

The total area \(A = A_{square}+A_{rectangle}\). So \(A = 16 + 14=30\) \(in^{2}\).

Answer:

Area of \(\square\) (square) \(= 16\) \(in^{2}\), Area of rectangle \(= 14\) \(in^{2}\), Area of Figure \(= 30\) \(in^{2}\)