length of rectangle is 2cm more than twice its breath .if the perimeter of the rectangle is 28cm , find its leanth and breath
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Answered by
1
Let breadth=x
Length=2x+2cm
Perimeter=28cm
❥Perimeter=2×(l+b)
=>2×[x+(2x+2)]=28
=>2(x+2x+2)=28
=>(2)(x)+(2)(2x)+(2)(2)=28
=>2x+4x+4=28
=>(2x+4x)+(4)=28
=>6x+4=28
=>6x+4=28
Then Subtract 4 from both sides.
=>6x+4−4=28−4
=>6x=24
Afterwards Divide both sides by 6
=>6x/6=24/6
x=4
Breadth=4cm
Length=2x+2cm
=2×4+2
=10cm
Step-by-step explanation:
❥Hope it helps you...
Answered by
0
Answer:
LENGHT = 10CM
BREADTH = 4CM
Step-by-step explanation:
breadth = (2x+2)
We know that
Perimeter = l + l + b + b
28x = 2x+2+2x+2+x+x
28x = 6x + 4
6x = 28 - 4
x = 24 / 6
x = 4cm
breadth = 4cm
length = 2x + 2
L = 2(4) + 2
L = 8 + 2
L = 10cm
Length = 10cm
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