Question

I am too lazy to do this so can someone please do this for me

Answer 1

Step-by-step Solution:

We know that:

• Perimeter of shape = 112 inches
• Perimeter of shape = 20 + 20 + (4b)
• Area of triangle = 1/2 x b x a
• Area of square = b²

Work:

• 20 + 20 + (3x) = 112
• => 3x = 112 - 40
• => 3x = 72
• => x = 24 in.

This means that the side of the square is 24. This could also mean that the value of x is the base of triangle.

• => Total length of all three missing sides of square = 3(24)
• => 72 in.

Now, let's find the area of the triangle.

• => 1/2 x 24 x 16
• => 1 x 12 x 16
• => 192 in.²

Now, let's find the area of square.

• => 24² = Area of square
• => 576 in.²

Now, let's find the area of the given figure

• => 192 + 576 = Area of given figure
• => 768 in.²

Final Answer:

The total length of three sides of the square is 72 in., so the side length of the square is 24 in. The area of the triangle is 192 in², and the area of the square is 576 in², so the total area is 768 in².

Answer 2

The three sides of the square = 112 - 20-20 = 112-40 = 72 inches

Side length of the square = 72/3 = 24 inches

Area of the square = 24 x 24 = 576 square inches

Area of the triangle = 1/2 x 24 x 16 = 192 square inches

Total area = 576 + 192 = 768 square inches