Math, asked by RitikBhanwal, 5 hours ago

the base of parallelogram is twice its height and its area is 128cm2. Find the height and base of the parallelogram​

Answers

Answered by saiedeshmukh4
3

Answer:

hight is 16cm

base is 32cm

Step-by-step explanation:

Given :Base of parallelogramb=2×height

Area of parallelogram=b×h=512cm2

⇒2h×h=512cm2

⇒h2=256

⇒h=16cm

Base=2h=2×16=32cm

Answered by Anonymous
2

Answer :

  • Base of parallelogram = 16cm
  • Height of parallelogram = 8cm

Given :

  • The base of parallelogram is twice its height
  • Area is 128cm²

To find :

  • Height and base of parallelogram

Solution :

Given, The base of parallelogram is twice its height so,

  • Let the base be 2x
  • Let the height be x

We know that

  • Area of parallelogram = b × h

Where,

  • b is base of parallelogram
  • h is height of parallelogram

Given, Area is 128cm²

According to question :

➠ Area of parallelogram = b × h

➠ 128 = 2x × x

➠ 128 = 2x²

➠ 2x² = 128

➠ x² = 128/2

➠ x² = 64

➠ x = √64

x = 8cm

Finding the base and height of parallelogram :

➠ Base of parallelogram = 2x

➠ Base of parallelogram = 2(8)

Base of parallelogram = 16cm

➠ Height of parallelogram = x

Height of parallelogram = 8cm

Hence,

  • Base of parallelogram = 16cm
  • Height of parallelogram = 8cm

Verification :

➠ 128 = 2x × x

➠ 128 = 2(8) × 8

➠ 128 = 16 × 8

128 = 128

Hence verified

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