Question

If the length of the square is thrice its original length, its perimeter will be 120 meters. What is the original length of the square?​

Answer 1

Step-by-step explanation:

Normally we would go about the answer in this way,

Let side of the square = x units

So area = X2 units2

Perimeter = 4x units

given that , area is 3 times the perimeter so,

X2 unit2 = 12x unit

=> x is either 12 or 0 . But since we don’t consider 0 to be an actual length so 12 unit should be the right answer.

Answer 2

Given :- If the length of the square is thrice its original length, its perimeter will be 120 meters. What is the original length of the square ?

Solution :-

Let us assume that, original length of the square is x m .

so,

→ Length of new square = Thrice of original length = 3 * x = 3x m .

then,

→ Perimeter of new square = 120 m

→ 4 * side = 120

→ side = 30 m

→ 3x = 30

→ x = 10 m (Ans.)

therefore, the original length of the square is 10 m .

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