A television screen has length 16 1/2, width w inches, and area 462 square inches. Select all equations that represent the relationship of the side lengths and area of the television. A. W • 462 = 16 1/2 B. 16 1/2 • w = 462 C. 462 divided by 16 1/2 = w D. 462 divided by w = 16 1/2 E. 16 1/2 • 462 = w

Respuesta :

Option B , C , D are correct

[tex]462 = 16\frac{1}{2} \times w[/tex]

[tex]w = 462 \div 16\frac{1}{2}[/tex]

[tex]462 \div w = 16\frac{1}{2}[/tex]

Solution:

Given that television screen has length [tex]16\frac{1}{2}[/tex], width w inches, and area 462 square inches

The television screen is generally of rectangular shape

The area of rectangle is given as:

Area = length x width

From given question,

[tex]length = 16\frac{1}{2}[/tex]

width = w

area = 462 square inches

Substituting the values in above formula,

[tex]462 = 16\frac{1}{2} \times w[/tex]

Therefore Option B is correct

We can rewrite the above equation and find value of w

[tex]w=\frac{462}{16 \frac{1}{2}}[/tex]

[tex]w = 462 \div 16\frac{1}{2}[/tex]

Thus option C is correct

We can rewrite the above equation

[tex]\frac{462}{w}=16 \frac{1}{2}[/tex]

[tex]462 \div w = 16\frac{1}{2}[/tex]

Thus Option D is correct