A rectangle has a length that is 5 meters greater than the width. If w represents the width, write an expression, in terms of w, for the steam of the rectangle.

Respuesta :

Answer:

Area of rectangle is [tex]w^2+5w[/tex]

Perimeter of Rectangle is [tex]4w+20[/tex].

Step-by-step explanation:

Given:

Let the width of the rectangle be 'w'.

Also Given:

A rectangle has a length that is 5 meters greater than the width.

Length of rectangle = [tex]w+5\ meters[/tex]

We need to write expression for Area of rectangle and Perimeter of rectangle.

Solution:

Now we know that;

Perimeter of rectangle is equal to twice the sum of the length and width.

framing in equation form we get;

Perimeter of rectangle = [tex]2(w+5+w)=2(2w+5) =4w+20[/tex]

Also We know that;

Area of rectangle is length times width.

framing in equation form we get;

Area of rectangle= [tex]w(w+5) = w^2+5w[/tex]

Hence Area of rectangle is [tex]w^2+5w[/tex] and Perimeter of Rectangle is [tex]4w+20[/tex].