Question

In the given figure, find the area of ΔGEF.

 

Answer 1

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