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Chapter 2: Q. 14 (page 120)

A wire of length xis bent into the shape of a square.

Part (a): Express the perimeter pof the square as a function of x.

Part (b): Express the area Aof the square as a function of x.

Short Answer

Expert verified

Part (a): Perimeter of the square as a function is px=x.

Part (b): Area of the square as a function is Ax=x216.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

Length of the wire xis equal to the perimeter of the square which is px=x.

02

Part (b) Step 1. Given information.

Consider the given question,

Length of the side of the square a,

a=px4=x4

We know area of the square is A=a2.

Substitute the values,

Ax=x42Ax=x216

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