Answer:
18 inches; 6 inches; 12 in²; 36 in²; 48 in²
Step-by-step explanation:
First you need to find the perimeter made up by the three sides of the square.
28 = 5 + 5 +x
28 = 10 + x
18 = x
The total length of three sides of the square is 18 inches.
Next we need to find the length of the side of the square, this is done by dividing the previous answer by 3.
18/3 = x
x = 6
The side length of the square is 6 inches.
Next, we need to find the area of the triangle, this is done by multiplying the height by the base and dividing by 2.
A = 6 * 4 / 2
A = 24/2
A = 12
The area of the triangle is 12 in²
Next, we need to find the area of the square, which is found by squaring the length of the side of the square.
A = 6²
A = 36
The are of the square is 36 in²
Finally, to find the total area, we add the area of the square and triangle together.
A = 36 + 12
A = 48
The total area is 48 in²