Area of a parallelogram
Area of a parallelogram: Overview
This topic contains the concept of Area of Parallelograms.
Important Questions on Area of a parallelogram
Find the area of that parallelogram whose base is 7 cm and height is 4.3 cm.

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

In the figure, ABCD is a parallelogram.
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.

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

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

Find the area of the following parallelogram:

Find the area of the following parallelogram:

Find the area of the following parallelogram:

Fill in the blanks.
Parallel Quadrilateral | Base | Height | Area |
cm | _____ |

Look at the figure below.
Areas of which of these triangles is equal to ?

Look at the figure below.
Areas of which of these triangles are equal?

In the figure below is rhombus. Also and .
What is the ratio of the area of to that of ?

In the figure below is a rhombus and
is a parallelogram. and .
What is the length of ?

Which of the following formulae gives the area of below?

Which of the following formulae gives the area of below?

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.

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

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

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.

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.
