Write an expression for the area and perimeter for the figure shown

Area = 3x² + 7x + 3

Perimeter = 8x + 8

Step-by-step explanation:

The figure can be decomposed into two: a large rectangle and a smaller rectangle.

✍️Dimensions of the large rectangle:

Length = (x + 1) + x = x + 1 + x = (2x + 1)

Width = (x + 3)

Area = length × width

Area = (2x + 1)(x + 3)

Expand

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

2x² + 6x + x + 3

Area = 2x² + 7x + 3

✍️Dimensions of the large rectangle:

Length = x

Width = x

Area = length × width

Area = x × x = x²

✍️Area of the figure = area of the large rectangle + area of the smaller rectangle

Area of the figure = (2x² + 7x + 3) + x²

Area of the figure = 2x² + x² + 7x + 3

✅Area = 3x² + 7x + 3

✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x

✅Perimeter = 8x + 8

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation: