Polynomial Operations 1&2 Test 10 of 1610 of 16 Items Item 10 The height of a poster is 7x+10 and its perimeter is 20x+24 . What is the width of the poster?

3x + 2

Step-by-step explanation:

The height of a poster is 7x+10 and its perimeter is 20x+24 . What is the width of the poster?

The shape of a poster = Rectangular shape

Hence:

The Perimeter of a Rectangle (Poster) = 2L + 2W

Where:

Length = Height = 7x + 10

Perimeter = 20x + 24

Therefore:

20x + 24 = 2(7x + 10) + 2W

20x + 24 = 14x + 20 + 2W

2W = 20x + 24 - (14x + 20)

2W = 20x + 24 -14x - 20

2W = 6x + 4

W = (6x + 4)/2

W = 3x + 2

Therefore, the width of the poster

= 3x + 2