Question

1 10110wing.
2x + y + 8
2y
I am a rectangle.
(x
+
4
Find the values of x
and y.
4x
- y
Find my perimeter and area.
c
onic 70 If we double th​

Answer 1

Step-by-step explanation:

Length of opposite sides of rectangle are 2x+y+8 and 4x-y

Hence,

2x+y+8=4x-y........(opposite sides of rectangle are congruent)

2x-4x+y+y=4-8

-2x+2y= -4

Divide by two we get,

-x+y= -2............(1)

Breadth of opposite sides are 2y and x+4

Hence,

x+4=2y...........(opposite sides of rectangle are congruent)

x-2y= -4.........(2)

Adding equation no. (1) and (2)

-x+y= -2

+

x-2y= -4

we get,

-y=-6

Therefore y=6

Substituting y=6 in eqn no. (2)

x-2(6)= -4

x-12= -4

x= -4+12

Therefore x=8

Hence, length of rectangle is 4(8)-6

=26 units

And breadth of rectangle is 2(6)

=12 units

Perimeter of rectangle = 2(l+b)

=2(26+12)

=2(38)

=76 units

Area of rectangle = (length)(breadth)

= (26)(12)

= 312sqcm

Hope it helped....

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