Area of a Parallelogram

IMPORTANT

Area of a Parallelogram: Overview

This topic covers concepts, such as, Area of Parallelograms etc.

Important Questions on Area of a Parallelogram

EASY
IMPORTANT

Find the area of the following parallelogram: 

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Area of a parallelogram = base × _____

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Find the area of a parallelogram whose base is 45 cm and the corresponding height is 6 cm.

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The area of a parallelogram is 98 cm:. If one altitude is half the corresponding base, determine the base and the altitude of the parallelogram.

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Look at the figure below.

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Areas of which of these triangles is equal to BCD?

 

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Look at the figure below.

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Areas of which of these triangles are equal?

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In the figure below ABCD is rhombus. Also BE || AC and CE || AB.

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What is the ratio of the area of ABCD to that of ABED?

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Which of the following formulae gives the area of ABDC below?

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The area of ∆ ABC and ∆DEF is 256 sq cm. Length of side AB and side DE is 16 cm. If the altitude corresponding to side AB is 32 cm, the altitude corresponding to side DE of ∆DEF is _____ cm.

 

 

 

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EASY
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The area of △ABC is 25 sq cm. If ∆ABC and ∆DEF are congruent, then the area of ∆DEF = _____ sq cm.

MEDIUM
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The adjacent sides of a parallelogram are 21 cm and 14 cm respectively. The distance between the two longer opposite sides of the parallelogram is 6 cm.

The distance between the two shorter opposite sides is _____cm.

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If the sum of the lengths of a parallelogram is $ \frac{a}{6}$ cm and sum of widths is $ \frac{b}{6}$ cm, perimeter of the parallelogram is,

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The sum of the widths of a parallelogram is 30cm and the sum of its lengths is 15cm, the perimeter of this parallelogram is _____ cm.

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The sum of the length and width of a parallelogram is 70cm. Is there any data missing to calculate the perimeter of the parallelogram?

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The width of the parallelogram is 10cm less than thrice the length. If the perimeter of the parallelogram is 100cm, then the length of the parallelogram is _____cm.

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If the sum of adjacent sides of the parallelogram is 60cm. Perimeter of the parallelogram is _____cm.

EASY
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If the boundary of a parallelogram is 150cm and the length is 25cm, the width of the parallelogram is _____ cm.

HARD
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Do the parallelogram and rectangle shown in the figure below have the same area?

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MEDIUM
IMPORTANT

What happens to the area of a parallelogram, if the base is doubled and the height is halved?

MEDIUM
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If the area of parallelogram ABCD is 117 $ c{m}^{2}$, what is the length of the base of the parallelogram?