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Question
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 cm2
Hence we get the result as Area of ΔGEF = 25 cm2
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