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Chapter 3: Q30. (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

Given two sides of the square are 9x and 5x+32.

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, 9x=5x+32

Then we solve the equation:

9x=5x+32writetheequation9x鈭�5x=32+5x鈭�5xsubtract5xfrombothsides4x=32simplify4x4=324divideeachsideby4x=8simplify

Substituting the value of x in the expression of a side = 9x we get:

9x=9脳8Substitutethevalueofx=72Multiply

So the length of each side = 72

Hence,

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

Therefore, PerimeterP=288

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