(i) Complete the following activity.
Find my perimeter
and area
2y
2x + y +8
4x – y
I am a x + 4
Rectangle
Find the values
of x and y
In a rectangle, opposite sides are equal in length.
\ 2x + y + 8 = 4x – y
\ 2x – + y + = – 8
\ + 2y = – 8
\ 2( ) = – 8
\ =
–8
2 \ = – 4 ...(i)
Also, 2y = x + 4
\ – 4 = x –
i.e. x – 2y = – 4 ...(ii)
Adding (i) and (ii) we get,
– x + y = – 4
+ x – 2y = – 4
– y =
\ y =
Substituting y = in (i) we get,
– x + = – 4
\ – x = – 4 –
\ – x =
\ x =
\ The length of rectangle = 2x + y + 8
= 2( ) + + 8
= + 16
= 40 units
The breadth of rectangle = 2y
= 2 ×
= units
\ Perimeter of rectangle = 2 [length + breadth]
= 2 [ + ]
= 2 ×
\ Perimeter of rectangle = units
Area of rectangle = length × breadth
= ×
\ Area of rectangle = sq. units
pls help, it's urgent
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Answer:
Area of rectangle = length × breadth
= ×
\ Area of rectangle = sq. units
pls help, it's urgent
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