pls solve this question
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Step-by-step explanation:
Here,
Length of rectangle (l)=10cm
breadth of rectangle (b)=8cm
Thus,
Perimeter of rectangle=2(l+b)
=2(10+8)
=2(18)
=36cm
Let's say,
The length and breath is incresed by y cm.
Thus, Length of rectangle=10+y cm
Breadth of rectangle=8+y cm
Now,
According to the condition,
When all sides are increased by y cm, the
Perimeter is 2 times the perimeter of earlier triangle (36 cm)
Thus,
Perimeter of rectangle=2(l+b)
36×2=2[(10+y)+(8+y)]
72=20+2y+16+2y
72=36+4y
72 - 36=4y
36=4y
36/4=y
9 cm=y
Now, the area of new rectangle is
A=l×b
A=(10+y)(8+y)
=(10+9)(8+9)
=(19)(17)
=323sq.cm
Thank you
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