Question

2)The base of the parallelogram is 8x and its
altitude is 4x. If the area of the parallelogram is
1152sq.cm,find the measure of base and
altitude​

Answer 1

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Answer 2

Answer :-

• Base of Parallelogram = 48 cm.
• Altitude of Parallelogram = 24 cm.

Explanation :-

Given :

• Base of Parallelogram = 8x.
• Altitude of Parallelogram = 4x.
• Area of Parallelogram = 1152 sq. cm.

To Find :

• Base and Altitude of Parallelogram.

Solution :

We know that,

Area of Parallelogram = Base × Altitude.

➨ 8x × 4x = 1152 sq. cm.

➨ 32x² = 1152 sq. cm.

➨ x² = 1152 ÷ 32.

➨ x² = 36.

➨ x = √36.

➨ x = 6 cm.

Therefore,

• Base of Parallelogram = 48 cm.
• Height of Parallelogram = 24 cm.