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Chapter 3: Q28. (page 133)

Find the perimeter of the square.

Short Answer

Expert verified

The required perimeter of the square is 64

Step by step solution

01

Step-1 – Given

Two sides of the square are 4x and 36-5x.

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, 4x=36鈭�5x[Twosidesofthegivensqaure]]

Then we solve the equation:

4x=36鈭�5xwritetheequation4x+5x=36add5xtobothsides9x=36simplify9x9=369divideeachsideby9x=4

Substituting the value of x in the expression of a side = 4xwe get:

4x=4脳4Substitutethevalueofx=16Multiply

So the length of each side = 16

Hence,

PerimeterP=4脳lengthofeachsidePerimeterP=4脳16SubstitutethevalueintheformulaPerimeterP=64Multiply

Therefore, PerimeterP=64

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