Answer:
Area of ║- gram = 45 inches^2
Step-by-step explanation:
~ Let us plan out this problem. Let us say the altitude of this figure is called XV, so that the point on base WZ is reffered to as point V. That would make triangle WXV, which is apparently a 45-45-90 triangle by Σ of ∠s in Δ Theorem. By properties of 45-45-90 triangles, WV is ≅ to XV. At the same time by properties of a parallelogram ( opposite sides ≅ ), XY ≅ WZ ~
1. Knowing WV ≅ XV, provided WV = 6 inches ⇒ XV = 6 inches
2. Knowing XY ≅ WZ, provided XY = 7.5 inches ⇒ WZ = 7.5 inches
3. Knowing the base and height of this parallelogram, let us apply the area formula of a ║- gram to recieve the area as such:
Area of ║- gram = base * height,
Area of ║- gram = WZ * XV,
Area of ║- gram = 7.5 inches * 6 inches,
Area of ║- gram = 45 in^2
