The sum of the perimeter of two square is 76 and the difference between their areas is 57 ?what is the difference between the perimeters of the square?
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and their difference between their area is 57 a) if their lenghth of sides of the square is x unit. what will be the perimeter . 2.
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Answer:
difference between the perimeter of squares =12
Step-by-step explanation:
we know that area of square=a^2;( a is side of square)
perimeter of square =4a
let side of 1st square=x
let side of second square=y
given difference of area of squares= x^2-y^2=57
sum of perimeter of squares=4x+4y=76
=4(x+y)=76
x+y=76/4
x+y=19
formula of (a^2-b^2)=(a+b)(a-b)
x^2-y^2=57
(x+y)(x-y)=57
(19)(x-y)=57
(x-y)=57/19
(x-y)=3
multiplying 4 on both sides
4(x-y)=4(3)
4x-4y=12
difference of perimeter of squares= 4x-4y
So, answer is 12
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