A rectangle has an area of 16 ft?. The length is 2 ft longer than the width. Let w represent the width of the rectangle.Which equation can be used to find the dimensions of this rectangle?O A. W +2 = 16O B. 2w + 2 = 16OC. W2 + 2 = 16OD. W2 + 2w = 16

A rectangle has an area of 16 ft The length is 2 ft longer than the width Let w represent the width of the rectangleWhich equation can be used to find the dimen class=

Respuesta :

Given data:

The area of the rectangle is A=16 ft^2.

The expression for the length of the rectangle is l=w+2.

The expression for the area of the rectangle is,

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

Substitute the given values in the above expression.

[tex]\begin{gathered} 16=(w+2)w \\ w^2+2w=16 \\ w^2+2w=16 \end{gathered}[/tex]

Thus, the option (D) is correct.