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let L :B = 3x:2x
A/q,
4(2x+8) - 2(3x+2x) = 16
8x+32 -10x = 16
2x = 16
x = 8
So, length = 8*3 = 24 (Ans.)
Answered by
1
Answer:
24 cm
Step-by-step explanation:
Let, the common multiple be 'x'
l of rectangle = 3x
b of rectangle = 2x
Let, 'p' be the perimeter of rectangle
p = 2(l+b) = 2(3x+2x)= 10x....(1)
According to question, (in square)
Side = 2x+8
From the question, perimeter of square is 16 m more than that of rectangle... So,
perimeter of square= perimeter of rectangle + 16
perimeter of square - perimeter of rectangle = 16
4(2x+8) - 10x = 16 (from eqn 1 perimeter of rectangle = 10x)
8x+ 32 - 10x = 16
-2x = 16-32
-2x = -16
x = -16/-2
x= 8 cm
Hence, length of rectangle is 3x= 8*3= 24 cm
I hope it helps you
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