Image of figure is missing so i have attached it.
Answer:
The total length of three sides of the square = 36 in
Side length of square = 12 in
A_triangle = 48 in²
Area of square = 144 in²
Total area of figure = 192 in²
Step-by-step explanation:
Total perimeter = 56 inches
Let the side of the square be s.
Thus, perimeter of the 3 sides of the square = 3s
Therefore, adding all the external sides of the figure, we have;
3s + 10 + 10 = 56
3s + 20 = 56
3s = 56 - 20
3s = 36
s = 36/3
s = 12
Area of triangle is given by the formula;
A_triangle = ½bh
Where;
b is base
h is height
Thus;
A_triangle = ½ × 12 × 8
A_triangle = 48 in²
Area of square = 12 × 12 = 144 in²
Total area of figure = 144 + 48 = 192 in²
