Question

Find the area of the square whose side is [10 - 3x (-2)] cm.*

Answer 1

Step-by-step explanation:

Given that,

• Side of the square = [10 – 3x(–2)] cm

We have to calculate the area of the square.

⠀⠀⠀⠀⠀★ Area of square = (Side)² ★

$\dashrightarrow \quad \rm { Area = [10 - 3x(-2)]^2 \; cm^2}$

$\dashrightarrow \quad \rm { Area = [10 + 6x]^2 \; cm^2}$

$\dashrightarrow \quad \rm { Area = (10)^2 + (6x)^2 + 2(10 \times 6x) \; cm^2}$

$\dashrightarrow \quad \rm { Area = 100 + 36x^2 + 2(60x) \; cm^2}$

$\dashrightarrow \quad \underline{\boxed{\bf { Area = 100 + 36x^2 + 120x \; cm^2}}}$

$\rule{200}2$

Answer 2

Answer:

36x^2 + 120x + 100 cm^2.

Step-by-step explanation:

[10 - 3x (-2)]

= 10 + 6x

The area = (10 + 6x)^2

= (10 + 6x)(10 + 6x)

= 10*10 + 10*6x + 10*6x + 6x*6x

= 100 + 60x + 60x + 36x^2

= 100 + 120x + 36x^2.