Answer:
The value of h is [tex]\frac{5}{2}[/tex] units
Step-by-step explanation:
- In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2
- The area of parallelogram = b1 × h1 OR b2 × h2
In the given figure
∵ Every two opposite sides of the parallelogram are equal
∴ The length of the base of the height h is 3 units
∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units
∵ Area of parallelogram = b × h
→ Substitute the values of the area and the base in the rule above
∴ [tex]\frac{15}{2}[/tex] = 3 × h
∴ [tex]\frac{15}{2}[/tex] = 3h
→ Divide both sides by 3 to find h
∵ [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3
∴ [tex]\frac{15}{6}[/tex] = h
→ Simplify the fraction by divide up and down by 3 and switch the 2 sides
∴ h = [tex]\frac{5}{2}[/tex] units
