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Chapter 3: Q29. (page 133)

Find the perimeter of the square.

Short Answer

Expert verified

The required perimeter of the square is 288

Step by step solution

01

Step-1 – Given

Two sides of the square are 12x and 7x+30.

02

Step-2 – To determine

We have to find the perimeter of the square.

03

Step-3 – Calculation

We know that each sides of a square are equal.

So, 12x=7x+30

Then we solve the equation:

12x=7x+30writetheequation12x鈭�7x=30+7x鈭�7xsubtract7xfrombothsides5x=30simplify5x5=305divideeachsideby5x=6simplify

Substituting the value of x in the expression of a side = 12xwe get:

12x=12脳6Substitutethevalueofx=72Multiply

So the length of each side = 72

Hence,

PerimeterP=4脳eachsideofthesqaurePerimeterP=4脳72SubstitutethevalueintheformulaPerimeterP=288unitsMultiply

Therefore, PerimeterP=288

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