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A rectangle of length L and width W has a perimeter of 2(L + W). A square with side of length x has a perimeter of 4x.
Here we have the perimeter of a rectangle with length L and width W equal to the perimeter with side x and L is 10 more than x.
This gives 2(L + W) = 4x
as L = 10 + x
=> 2(10 + x + W) = 4x
=> 10 + x + W = 2x
=> W = x - 10
The width of the rectangle in terms of x is W = x - 10.
P1 = 2(L+W)
We'll write the perimeter of the square:
P2 = 4x
We know that P1 = P2 => 2(L+W) = 4x => (L+W) = 2x
We also know that L = 10+x
10+x+W = 2x
We'll isolate W to the left side:
W = 2x - x - 10
W = x - 10
The width W expressed in terms of x is: W = x - 10.
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