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djverab [1.8K]
3 years ago
7

The parallelogram shown bellow has an area of 15 units over 2

Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

The value of h is \frac{5}{2} 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 <em>OR</em> 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 = \frac{15}{2} units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ \frac{15}{2} = 3 × h

∴ \frac{15}{2} = 3h

→ Divide both sides by 3 to find h

∵  \frac{15}{2} ÷ 3 = 3h ÷ 3

∴ \frac{15}{6} = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

∴ h = \frac{5}{2} units

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