Area of a Parallelogram

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Area of a Parallelogram: Overview

This Topic covers sub-topics such as Area of Parallelograms

Important Questions on Area of a Parallelogram

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Find the area of the following 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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In the figure below ABCD is a rhombus and

ABEC is a parallelogram. AD=25 m and BE=30 cm.

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What is the length of BD?

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

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Which of the following formulae gives the area of ADC 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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The area of △ABC is 25 sq cm. If ∆ABC and ∆DEF are congruent, then the area of ∆DEF = _____ sq cm.

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Shown below is the earth’s orbit around the Sun. According to Kepler’s law of planetary motion, the earth sweeps equal areas (triangular area shown below) in equal intervals of time.

 

Murali is trying to apply the area formula of triangles to study the speed of the earth as it revolves around the sun.

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Which of the following statements is correct regarding the speed of earth along the elliptical orbit?

 

 

 

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Kavitha made a rectangular envelop as shown below. The area of the envelope (i.e., area of rectangle ABCD) is 70 sq cm.

If Kavitha used 27 sq cm of paper to make the triangular portion of the paper △AOD, then the area of the paper she used to make the triangular portion, △BOC is _____ sq cm.

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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.

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

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Mahesh took the measurements around a tile and found it to be 60 inches. What is this measurement?

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Perimeter of the parallelogram is _____ cm.