Write the mathematical form of the statement 15 subtracted from the length and breadth of the rectangle the perimeter becomes 26
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Let, the length be l and the breadth be b.
After the subtraction of 15 from both the length and the breadth, they be (l - 15) and (b - 15)
Thus the perimeter be
2 {(l - 15) + (b - 15)}
Given that,
2 {(l - 15) + (b - 15)} = 26 .....(i)
Or, 2 {l - 15 + b - 15) = 26
Or, l + b - 30 = 13
Or, l + b = 13 + 30
Or, l + b = 43,
which is the required mathematical expression.
Note : You can also use equation no. (i) to express the given statement mathematically.
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