    Question

# Find the ratio of perimeters and areas of lands ABCD to ABFE. (Given AE = 2AD) A

Perimeter ratio = 1 ; Area ratio = 12

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B

Perimeter ratio = (x+y)2(x+2y) ; Area ratio = 12

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C

Perimeter ratio = (x+y)(x+2y) ; Area ratio = 1

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D

Perimeter ratio = 12 ; Area ratio = 1

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Solution

## The correct option is C Perimeter ratio = (x+y)(x+2y) ; Area ratio = 1 Perimeter (ABCD) = 2 (AB + AD) = 2 (x + y) Perimeter (ABFE) = 2 (AB + AE) = 2 (x + 2y) (Since AE = 2AD) So, perimeter ratio = Perimeter(ABCD)Perimeter(ABEF)=2(x+y)2(x+2y)=x+y(x+2y) Area (ABCD) = 2 (AB × AD) = 2xy Area (ABFE) = Area (ABCD) [Both the parallelorgrams ABCD and ABFE are lying on the same base and between the same parallel lines] So, area ratio = Area(ABCD)Area(ABEF)=1  Suggest Corrections  0      Similar questions
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