Question

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

Answer 1

The value of h is
`(5)/(2)` units

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 =
`(15)/(2)` units

∵ Area of parallelogram = b × h

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

∴
`(15)/(2)` = 3 × h

∴
`(15)/(2)` = 3h

→ Divide both sides by 3 to find h

∵
`(15)/(2)` ÷ 3 = 3h ÷ 3

∴
`(15)/(6)` = h

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

∴ h =
`(5)/(2)` units