Answer in Brief

In the given figure, *ABCD* is a rectangle with sides *AB* = 10 cm and *AD* = 5 cm. Find the area of ΔEFG.

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#### Solution

**Given:** (1) ABCD is a rectangle.

(2) AB = 10 cm

(3) AD = 5cm

**To find:** Area of ΔEGF.

**Calculation:** We know that,

Area of Rectangle = 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 Rectangle ABCD and triangle GEF are between the same base and same parallels.

Hence,

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

`= 1/2 xx AD xx CD`

`= 1/2 xx 10 xx 5 `

= 25 cm^{2}

Hence we get the result as Area of ΔGEF = **25 cm ^{2 }**

Concept: Concept of Area

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