Question

Square OSER, ER equals (2a+b) what is the area of square OSER

Answer 1

Answer:

4a² + 4ab + b² units²

Step-by-step explanation:

Area of a square = Length²

ER is a length of the square

ER = (2a + b)

Area of a square = (2a + b)² = (2a + b)(2a + b) = (2a)(2a) + (2a)(b) + (2a)(b) + (b)(b) = 4a² + 4ab + b²

Answer 2

The area of the square OSER = $4a^{2}+4ab+b^{2}$ sq unit

Step-by-step explanation:

Given,

Length of each side(ER) = (2a+b) unit

To find the area of the square OSER.

Formula

The area of a square with each side a unit is $a^{2}$ sq unit

$(a+b)^{2}= a^{2} +b^{2} +2ab$

Now,

The area of the square OSER = $(2a+b)^{2}$ sq unit

= $4a^{2}+4ab+b^{2}$ sq unit [ by using the formula of ($a+b)^{2}$]