Question

If the legth of a side of a square is 2a-b what’s the area of the square in term a and b

Answer 1

Answer:

4a²-4ab+b² sq.units

Step-by-step explanation:

Given side of Square = 2a-b units

∴ area of the square  =  (2a-b)²   [ area =  a² sq.units ]

                                   = (2a)² - 2(2a)(b) + b²

                                   = 4a²-4ab+b² sq.units

Answer 2

The area of the square = 4a² - 4ab + b²

Given :

The legth of a side of a square is 2a - b

To find :

The area of the square

Formula :

The area of a square with side x unit = x² sq.unit

Solution :

Step 1 of 2 :

Write down the side of the square

By the given condition

Side of the square = 2a - b

Step 2 of 2 :

Find area of the square

The area of the square

$\displaystyle \sf{ = {(2a - b)}^{2} }$

$\displaystyle \sf{ = {(2a)}^{2} - 2 \times 2a \times b + {(b)}^{2} }$

$\displaystyle \sf{ = 4 {a}^{2} - 4ab + {b}^{2} }$

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