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bixtya [17]
3 years ago
11

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

Mathematics
2 answers:
Marysya12 [62]3 years ago
8 0

<u><em>Answer:</em></u>

The combined perimeter is 24x + 52 units

<u><em>Explanation:</em></u>

<u>1- Let's get the perimeter of the first rectangle:</u>

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 = <u>12x + 24 units</u>

<u>2- Let's get the perimeter of the second rectangle:</u>

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 = <u>12x + 28 units</u>

<u>3- Finally, let's get the combined perimeter:</u>

Combined perimeter will be the <u>summation</u> of the two perimeters

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

Combined perimeter = <u>24x + 52 units</u>

Hope this helps :)

Reptile [31]3 years ago
3 0

<u>Answer:</u>

24x + 52 units

<u>Step-by-step explanation:</u>

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

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