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555-605 (Medium)|   Geometry|      
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KSBGC
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In a rectangle , the length of the diagonal is 8 meters and the length 23 Nov 2019, 21:21
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35% (medium)

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76% (01:47) correct 24% (02:07) wrong based on 94 sessions

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In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64
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A
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In a rectangle , the length of the diagonal is 8 meters and the length 23 Nov 2019, 21:50
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KSBGC
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64
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Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33

A
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In a rectangle , the length of the diagonal is 8 meters and the length 23 Nov 2019, 21:58
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Area of Retangle= 2 × [1/2 x diagonal*(perpendicular on this diagonal)]
=2x8x4x(1/2)
=32

Answer is A

Please give kudos, if you find my explanation good enough

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In a rectangle , the length of the diagonal is 8 meters and the length 23 Nov 2019, 22:01
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chetan2u
KSBGC
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64


Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33


A
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chetan2u , you made calulation mistake.. answer is 32. You written as 33. Which is not in options.

Regards,
Rajat

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In a rectangle , the length of the diagonal is 8 meters and the length 24 Nov 2019, 04:57
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chetan2u
KSBGC
In a rectangle , the length of the diagonal is 8 meters and the length of the perpendicular drawn on that diagonal from the opposite corner is 4 meters. What is the area of the rectangle in sq meters ?

A)32
B)16
C)24
D)12
E)64


Area of a rectangle = length * breadth when one of these is taken as the base
OR
Area = 2*(1/2*Diagonal*(perpendicular on this diagonal from the opposite vertex))=2*8*4*(1/2)=33

A
Show more

sir typing error ho gaya
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In a rectangle , the length of the diagonal is 8 meters and the length 22 Nov 2021, 21:30
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rajatchopra1994
Area of Retangle= 2 × [1/2 x diagonal*(perpendicular on this diagonal)]
=2x8x4x(1/2)
=32

Answer is A

Please give kudos, if you find my explanation good enough

Posted from my mobile device
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Sir, is this a formula? Why is it so different?
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In a rectangle , the length of the diagonal is 8 meters and the length 22 Nov 2021, 22:21
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ShahadatHJ
rajatchopra1994
Area of Retangle= 2 × [1/2 x diagonal*(perpendicular on this diagonal)]
=2x8x4x(1/2)
=32

Answer is A

Please give kudos, if you find my explanation good enough

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Sir, is this a formula? Why is it so different?
Show more
Hi ShahadatHJ, the formula above is for two triangles. It's the easiest way to solve, because the problem gives you the base and height for 2 congruent triangles. We can think of the diagonal as the base, and the "perpendicular drawn on that diagonal" as the height.
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In a rectangle , the length of the diagonal is 8 meters and the length 22 Nov 2021, 22:27
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GMATCoachBen
ShahadatHJ
rajatchopra1994
Area of Retangle= 2 × [1/2 x diagonal*(perpendicular on this diagonal)]
=2x8x4x(1/2)
=32

Answer is A

Please give kudos, if you find my explanation good enough

Posted from my mobile device
Sir, is this a formula? Why is it so different?
Hi ShahadatHJ, the formula above is for two triangles. It's the easiest way to solve, because the problem gives you the base and height for 2 congruent triangles. We can think of the diagonal as the base, and the "perpendicular drawn on that diagonal" as the height.
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Now, it makes sense, thank you very much. It was itching me for a while. :)
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In a rectangle , the length of the diagonal is 8 meters and the length 10 Mar 2023, 20:43
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When a diagonal is drawn in a rectangle it forms a 45-45-90 triangle in the ratio x:x:root2X. We are given the length of the diagonal as 8, this is the length of the side opposite to 90 degreee, equate it to root2X. We find x =4root2.
Therefore are of rectangle =(4root2)^2 =32
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In a rectangle , the length of the diagonal is 8 meters and the length 13 Sep 2024, 09:19
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