Question

18
16 in.
16 in.

Explanation:

1. Explanation:

• Step 1: Find the area of the square
• The formula for the area of a square is \(A = s^2\), where \(s\) is the side - length of the square. Here, \(s = 16\) inches. So, \(A_{square}=16\times16 = 256\) square inches.
• Step 2: Find the area of the triangle
• The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height. In the given triangle, \(b = 16\) inches and \(h = 16\) inches. So, \(A_{triangle}=\frac{1}{2}\times16\times16=128\) square inches.
• Step 3: Find the area of the shaded region
• The area of the shaded region \(A_{shaded}=A_{square}-A_{triangle}\). Substitute the values of \(A_{square}\) and \(A_{triangle}\): \(A_{shaded}=256 - 128=128\) square inches.

1. Answer:

• 128 square inches

Answer:

1. Explanation:

• Step 1: Find the area of the square
• The formula for the area of a square is \(A = s^2\), where \(s\) is the side - length of the square. Here, \(s = 16\) inches. So, \(A_{square}=16\times16 = 256\) square inches.
• Step 2: Find the area of the triangle
• The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height. In the given triangle, \(b = 16\) inches and \(h = 16\) inches. So, \(A_{triangle}=\frac{1}{2}\times16\times16=128\) square inches.
• Step 3: Find the area of the shaded region
• The area of the shaded region \(A_{shaded}=A_{square}-A_{triangle}\). Substitute the values of \(A_{square}\) and \(A_{triangle}\): \(A_{shaded}=256 - 128=128\) square inches.

1. Answer:

• 128 square inches