Area of a parallelogram

IMPORTANT

Area of a parallelogram: Overview

This topic contains the concept of Area of Parallelograms.

Important Questions on Area of a parallelogram

EASY
IMPORTANT

Find the area of that parallelogram whose base is 7 cm and height is 4.3 cm.

MEDIUM
IMPORTANT

Find the area of quadrilateral ABCD where AC = 48 cm, BF = 10 cm, and DE = 20 cm.

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MEDIUM
IMPORTANT

In the figure, ABCD is a parallelogram.

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If CF ⊥ AB and BG ⊥ AD

Given AB = 16 cm, AD = 12 cm, and CF = 10 cm, then find BG.

Given AD = 10 cm, BG = 8 cm, and CF = 12 cm, then find AB.

MEDIUM
IMPORTANT

A field is in the shape of a parallelogram. Its base is 15 decameters, and its height is 8 decameters. Find the cost of irrigation at the rate of 50 paisa per square meter

MEDIUM
IMPORTANT

Find the height of that parallelogram, the area of which is 2.25 square meters and the base is 25 decimeters.

EASY
IMPORTANT

Find the area of the following parallelogram:

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EASY
IMPORTANT

Find the area of the following parallelogram:

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EASY
IMPORTANT

Find the area of the following parallelogram:

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EASY
IMPORTANT

Fill in the blanks.

Parallel Quadrilateral Base Height Area
(i) 60 cm _____ 4800 cm2

 

EASY
IMPORTANT

Look at the figure below.

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Areas of which of these triangles is equal to BCD?

 

EASY
IMPORTANT

Look at the figure below.

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Areas of which of these triangles are equal?

EASY
IMPORTANT

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?

EASY
IMPORTANT

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?

EASY
IMPORTANT

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

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EASY
IMPORTANT

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

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EASY
IMPORTANT

 

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
IMPORTANT

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

HARD
IMPORTANT

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?

 

 

 

MEDIUM
IMPORTANT

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.

MEDIUM
IMPORTANT

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.