Question
The rectangle area AR is 220. What is the area AK of the inscribed kite GBHE?
- 60
- 110
- 190
- 95
Hint:
Area of kite =½ x product of diagonals
The correct answer is: 110
Given, area of rectangle = 220 sq units.
We know that area of rectangle = length x breadth
Breadth = 10. => length = area/ breadth
Length = 220/ 10 = 22.
Length of diagonals of the kite GBHE = AD and GH
AD= 10 and GH = 22
Area of kite =½ x product of diagonals
= ½ x ( 10 x 22) = 220/2 = 110 sq nits.
A kite is a polygon with 2 pairs of equal sides, with the equal sides being adjacent to each other. Area of the inscribed polygon is always less than the outer polygon.
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