the area of a square is 3/4 times the area of a rectangle and the breadth of the rectangle is 1/4 of its length find the area of the square is the sum of length and breadth of the rectangle is 15 metre
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Step-by-step explanation:
The perimeter of squire is 32 cm
Then side of square =
4
32
=8 cm
Then area of square =(8)
2
=64 cm
2
The ratio of the area of a rectangle to that of a square is 3:2
then area of rectangle =
2
3
×64=96 cm
2
Let the length of rectangle angle is 3x, and breadth is 2x
Then area of rectangle =3x×2x=96
⇒6x
2
=96⇒x
2
=16⇒x=4 cm
Then length of rectangle =3×4=12 and breadth =2×4=8 cm
Then perimeter of rectangle =2(12+8)=40
Then difference between the perimeter of the square and the rectangle =40−32=8 cm
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