Question

find the value of 'x' such that the given shapes have the same area10×x =6 (3+x)

Answer 1

Hello!

10x = 6 ( 3 + x )

⇒ 10x = 18 + 6x

⇒ 10x - 6x = 18

⇒ 4x = 18

⇒ x = $\dfrac{\sf 18}{\sf 4} = \dfrac{\sf 9}{\sf 2} = \sf 4.5$

Cheers!

Answer 2

$10x = 18 + 6x \\ 10x - 6x = 18 \\ 4x = 18 \\ x = 18 \div 4 \\ x = 9 \div 2 \\ x = 4.5$