1. 105 units²
2. 78 units²
Explanation:
1.
Since the middle is a square, the base of all 4 triangles are equal.
Let x be the height of the triangles.
The height of the triangle can be defined as:
15 = 7 + x + x
15 = 7 + 2x
15 - 7 = 2x
x = 8/2
x = 4
Area = area of square + 4(area of triangle)
= (7 x 7) + 4(1/2(7)(4))
= 49 + 56
= 105 units²
2.
Area = area of triangle + area of rectangle
area of triangle = ½ x base x height
base = 4 + 4 + 4
= 12
height = 15 - 6
= 9
area of triangle = ½ x 12 x 9
= 54 units²
area of rectangle = 6 x 4
= 24 units²
Area = 54 + 24
= 78 units²