If the area of parallelogram is 22 cm2, base is (x + 5) cm and height

1.	If the area of parallelogram is 22 cm2, base is (x + 5) cm and height of parallelogram is 9 cm less than its base, then find the height of the the parallelogram.1. 2 cm2. 6 cm3. 11 cm4. 15 cm
Answer» Correct Answer - Option 1 : 2 cm Given: Area of parallelogram = 22 cm² Base = (x + 5) cm Height is 9 cm less than base Formula used: Area of parallelogram = Base × Height Calculation: Height of parallelogram = (x + 5) – 9 = x – 4 cm Area of parallelogram = Base × Height ⇒ Area = (x + 5) × (x – 4) ⇒ 22 = x² + x – 20 ⇒ x² + x – 42 = 0 ⇒ x² + 7x – 6x – 42 = 0 ⇒ x × (x + 7) – 6 × (x + 7) = 0 ⇒ (x + 7) × (x – 6) = 0 ⇒ x = –7 and x = 6 Height = x – 4 = 6 – 4 ∴ Height of parallelogram is 2 cm

If the area of parallelogram is 22 cm2, base is (x + 5) cm and height of parallelogram is 9 cm less than its base, then find the height of the the parallelogram.1. 2 cm2. 6 cm3. 11 cm4. 15 cm

Answer» Correct Answer - Option 1 : 2 cm

Given:

Area of parallelogram = 22 cm²

Base = (x + 5) cm

Height is 9 cm less than base

Formula used:

Area of parallelogram = Base × Height

Calculation:

Height of parallelogram = (x + 5) – 9 = x – 4 cm

Area of parallelogram = Base × Height

⇒ Area = (x + 5) × (x – 4)

⇒ 22 = x² + x – 20

⇒ x² + x – 42 = 0

⇒ x² + 7x – 6x – 42 = 0

⇒ x × (x + 7) – 6 × (x + 7) = 0

⇒ (x + 7) × (x – 6) = 0

⇒ x = –7 and x = 6

Height = x – 4 = 6 – 4

∴ Height of parallelogram is 2 cm

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If the area of parallelogram is 22 cm2, base is (x + 5) cm and height of parallelogram is 9 cm less than its base, then find the height of the the parallelogram.1. 2 cm2. 6 cm3. 11 cm4. 15 cm

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