Question

Really need help, I’m trying to catch up in my math and get my marks back up before mid term..

Answer 1

12x + 22 for the rectangle, 17x^2 - x for the triangle

Explanation:

The perimeter of a square/rectangle is equal to 2*width + 2*length

So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)

This can be further simplified as 8x + 16 + 4x + 6

Which can be further simplified as 12x + 22

The perimeter of a triangle is equal to length if side one + length of side two + length of base

That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)

Which becomes 8x^2 - 11x + (9x^2 + 10x)

17x^2 - x

Answer 2

a) 12x + 22 b) 17
`x^(2)` - x

Explanation:

Perimeter is the sum of the each side length.

The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.

(4x+8) x 2 = 8x+16

(2x+3) x 2 = 4x + 6

12x+22

(6
`x^(2)` - 12x) + (2
`x^(2)` + x) + (9
`x^(2)` + 10x)

combine like-terms.

17
`x^(2)` - x