Question

If one side of a square is increased by 5 metres and the other side is reduced by 5 metres, a rectangle
is formed whose perimeter is 30 m. Find the side of the original square. .
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Answer 1

Answer:

7.5m

Step-by-step explanation:Let us consider the side of the square be x.  If we increase one side by 5m, the other  side opposite to it will also be increased by 5m. The same case, if we decrease. So, the new sides will be x+5,x+5,x-5,x-5.

Perimeter is the sum of all sides.

Perimeter = 30

x+5+x+5+x-5+x-5=30

4x=30

x=7.5

Answer 2

Let x be the side of the square

length = x + 5

breadth = x - 5

perimeter = 30 m

perimeter = 2(l +b)

30 = 2( x + 5 + x - 5 )

30 = 2 ( 2x )

30 = 4x

x = $\frac{30}{4}$ = 7.5 cm

the side of the original square is 7.5 cm

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