Question

What is the combined perimeter of these two rectangles 4x+5 and 2x+7 and 3x+14 and 3x

Answer 1

24x + 52 units

Step-by-step explanation:

We are given the dimensions of two rectangles and we are to find their combined perimeter.

So we will find their perimeters separately and then add them.

Perimeter of rectangle 1 =
`2(4x+5+2x+7) = 2(6x+12) = 12x + 24`

Perimeter of rectangle 1 =
`2(3x+14+3x) = 2(6x+14) = 12x + 28`

Combined perimeter of both rectangles =
`1 2 x + 2 4 + 1 2 x + 2 8` = 24x + 52 units

Answer 2

The combined perimeter is 24x + 52 units

Step-by-step explanation:

1- Let's get the perimeter of the first rectangle:

The dimensions of the first rectangle are 4x+5 and 2x+7 units

Perimeter of rectangle = 2(length + width)

Perimeter of first rectangle = 2 (4x+5+2x+7)

Perimeter of first rectangle = 2 (6x + 12)

Perimeter of first rectangle = 12x + 24 units

2- Let's get the perimeter of the second rectangle:

The dimensions of the second rectangle are 3x+14 and 3x units

Perimeter of rectangle = 2(length + width)

Perimeter of second rectangle = 2 (3x+14+3x)

Perimeter of second rectangle = 2 (6x + 14)

Perimeter of second rectangle = 12x + 28 units

3- Finally, let's get the combined perimeter:

Combined perimeter will be the summation of the two perimeters

Combined perimeter = 12x + 24 + 12x + 28

Combined perimeter = 24x + 52 units

Hope this helps :)