Question

Answer with explaination
A1 And A2
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Answer 1

Answer:

A1 = (3x-1) = length and breadth = (x+2)

Answer 2

area = 3x²+5x-2

factors:

we first have to factorize this to find out

3x²+5x-2

3x²+6x-x-2

3x(x+2)-1(x+2)

(3x+1)(x+2) are the factors

Area of outer rectangle = 5x²+12x+10

Area of inner square = x²+2

area of shaded portion = 5x²+12x+10-(x²+2)

= 5x²+12x+10-x²-2

5x²-x²+12x+10-2

4x²+12x+8

= 4x²+8x+4x+8

= 4x²+4x+8x+8

= 4x(x+1)+8(x+1)

= (4x+8)(x+1)

= 4(x+2)(x+1)

hence the area of the shaded portion = 4(x+2)(x+1)