Question

Write an expression for the area of a square with side s = 2x + 5

Answer 1

Answer:

$4x^2+20x+25$ square units

Step-by-step explanation:

We are given that side of a square has the dimension $s = 2x + 5$ and using this, we are to write an expression for the area of this square.

We know that the formula of area of a square is given by:

Area of square = $s^2$

So substituting the given value in the above formula to get:

Area of square = $(2x+5)^2 = (2x+5)(2x+5) = 2x(2x)+2x\times5+5(2x)+5\times5 = 4x^2+20x+25$ square units

Answer 2

Answer:

$A = 4x ^ 2 + 20x +25$

Step-by-step explanation:

Remember that all sides of a square have the same length. Therefore, the Area of a square is defined as:

$A = s ^ 2$

Where s is the length of the sides of the squares.

In this case we know that the length of the sides is:

$s = 2x + 5$

So the area is:

$A = (2x +5) ^ 2$

We develop the expression and we have left that the area is:

$A = 4x ^ 2 + 20x +25$