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In the given figure, find the area of ΔGEF. - Mathematics

Answer in Brief

In the given figure, find the area of ΔGEF.

 
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Solution

Given: (1) ABCD is a rectangle.

(2) CD = 6 cm

(3) AD = 8cm

To find: Area of ΔGEF.

Calculation: We know that,

Area of Parallelogram = base × height

If a triangle and a parallelogram are on the same base and between the same parallels , the area of the triangle is equal to half of the parallelogram

Here we can see that Parallelogram ABCD and triangle GEF are between the same base and same parallels.

Hence,

Area of ΔGEF = `1/2` Area of Parallelogram ABCD

                       `= 1/2 xx AD xx CD `

                      `= 1/2 xx 8 xx6`

                        = 24 cm2

Hence we get the result as Area of ΔGEF =  24 cm2

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Q 3 | Page 59
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