The rectangle below has an area of x^2-x-72x 2 ?x?72 square meters and a length of x+8x+8 meters. What expression represents the width of the rectangle?

Respuesta :

Answer:

Area of the rectangle is given by:

[tex]A = l \times w[/tex]

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) =  [tex]x^2-x-72[/tex] square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

[tex]x^2-x-72 = (x+8) \times w[/tex]

[tex]x^2-9x+8x-72 = (x+8) \times w[/tex]

[tex]x(x-9)+8(x-9)= (x+8) \times w[/tex]

or

[tex](x+8)(x-9)= (x+8) \times w[/tex]

Divide both sides by x+8 we have;

[tex]w = (x-9)[/tex] meters.

Therefore, the expression represents the width of the rectangle is x-9 meters


Answer:

Area of the rectangle is given by:

where

A is the area of the rectangle

l is the length of the rectangle

w is the width of the rectangle respectively.

As per the given statement:

Area of the rectangle(A) =   square meters

length of the rectangle(l) = x+8

Substitute these in the given formula we have;

or

Divide both sides by x+8 we have;

meters.

Therefore, the expression represents the width of the rectangle is x-9 meters

Step-by-step explanation: