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In the Given Figure, Abcd is a Rectangle in Which Cd = 6 Cm, Ad = 8 Cm. Find the Area of Parallelogram Cdef.

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Question

In the given figure, ABCD is a rectangle in which CD = 6 cm, AD = 8 cm. Find the area of parallelogram CDEF.

 

Answer in Brief
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Solution

Given: (1) ABCD is a rectangle.

(2) CD = 6 cm

(3) AD = 8cm

To find: Area of rectangle CDEF.

Calculation: We know that,

Area of parallelogram = base × height

The Area of parallelogram and a rectangle on the same base and between the same parallels are equal in area

 

Here we can see that rectangle ABCD and Parallelogram CDEF are between the same base and same parallels.

Hence,

Area of Rectangle CDEF = Area of Parallelogram ABCD 

                                         = AD × CD

                                         = 8 × 6

                                         = 48 cm2

Hence we get the result as Area of Rectangle CDEF = 48 cm2 

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Chapter 14: Areas of Parallelograms and Triangles - Exercise 14.4 [Page 59]

APPEARS IN

R.D. Sharma Mathematics [English] Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.4 | Q 2 | Page 59

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