Question

Find the area of a square having its side (3x + 2y)

I only want the formula not the answer
In a,b,c,d, etc. variables

Answer 1

Area of square :

$( {side)}^{2}$

I hope it will help you......

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Answer 2

Given,

The side of the square = (3x+2y)

To find,

The area of the square.

Solution,

The area of the square will be (3x+2y)² or 9x²+4y²+12xy.

We can easily solve this problem by following the given steps.

We know that in a square all the four sides are equal and all the angles are right angles. The formula to find the area of the square is (side×side) or (side)² and that of its perimeter is (4×side).

According to the question,

Side of the square = (3x+2y)

Area of square = (3x+2y)²

Expanding this expression using the identity, (a+b)² = a²+b²+2ab, (In this case, a = 3x and b = 2y)

Area = (3x)²+(2y)²+2(3x)(2y)

Area = 9x²+4y²+12xy

Hence, the area of the square is (3x+2y)² or 9x²+4y²+12xy.