Question

Find the area of a square whose side is (2x + 7).​

Answer 1

Answer:

4x²+49

Step-by-step explanation:

Given that

side of square=(2x+7)

To Find

Area of square= Side x Side

= (2x+7) x (2x+7)

=(4x²+49)

Hence the area of square is (4x²+49)

hope guys it will help u..

Answer 2

The expression in terms of 'x' of the given square with side taken as (2x+7) is $4x^{2} +28x + 49$.

The square figure has all the sides the same. It is given that the length of each side of the square is :

            $a = 2x + 7$

The area of any square with the length of each side "a" is the product of the side to itself i.e. side squared:

             $Area = a^{2} \\Area = a * a$

Thus, the area of the given square will be :

            $Area = a^{2} \\\\Area = (2x+7)^{2}$

Using the square identity : $(a+b)^{2} = a^{2} +2ab + b^{2}$

So, the area of the square evaluates to :

           $Area = (2x+7)^{2} \\\\Area = (2x)^{2} +2(2x)(7) + (7)^{2} \\\\Area = (2x)(2x) +2(2x)(7) + (7)(7)\\\\Area = 4x^{2} +28x + 49$

Thus, the area of the square evaluates to the expression $4x^{2} +28x + 49$.

Hence, the expression for the area of the square is $4x^{2} +28x + 49$.

To learn more about Sqaure's Area, visit

https://brainly.in/question/490594

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