Question

Ans with steps.. Tysm Plzz asap!!

Answer 1

5x(3x + 2) - x(5x - 2) required expression.

Explanation:

I get there are 2 rectangles in figure.

How can I get the area of shaded region? What if, I subtract the area of inner rectangle from outer rectangle. Ya It will surely work (⌒o⌒).

Now,

Area of outer rectangle =
`\sf length * breadth`

`5x * (3x + 2)`

`5x(3x + 2)`

Again,

Area of inner rectangle =
`\sf length * breadth`

`=x * (5x - 2)`

`=x(5x - 2)`

`\sf Area \:of \:Shaded\: region = \: Area_(\:outer)-Area_(\:inner)`

`\sf \: 5x(3x + 2) - x(5x - 2)`

If We simplify further then,

= 15x² + 10x - 5x² + 2x

= 10x² + 12x

Area of shaded region is 10x² + 12x in a simple way.

Answer 2

10x^2 + 8x

Explanation:

Area of the outer rectangle = 5x(3x + 2) = 15x^2 + 10x

Area of the inner rectangle = x(5x - 2) = 5x^2 - 2x

Area of the shaded region = (15x^2 + 10x) - (5x^2 - 2x)

= 10x^2 + 8x