Question

The base of a parallelogram is 4 times its height.if the area is 1024 cm² ,find the base and height of parallelogram .
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Answer 1

Answer:

base is 56 cm.height is 14 cm

Answer 2

Given

• The base of a parallelogram is 4 times its height.
• Area of the parallelogram is 1024cm².

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To find

• Base and height of the parallelogram.

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Solution

• Let the height of the parallelogram be h. Then base of the parallelogram will be 4h.

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We have area of the parallelogram, so we use the formula, area of a parallelogram.

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☆ Area = Base × height

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→ Area = 1024

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→ Base × Height = 1024

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→ 4h × h = 1024

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→ 4h² = 1024

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→ h² = 1024/4

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→ h² = 256

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→ h = √256

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→ h = 16cm

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• By putting the value

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→ Base = 4h

→ Base = 4 × 16

→ Base = 64cm

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Hence,

• Base of the parallelogram is 64cm.
• Height of the parallelogram is 16cm.