Question

Emily is installing a rectangular vegetable garden in her yard.
She wants the length of the garden to be 5 feet longer than 2 times the width. The diagram represents the measurements of her garden. Find the perimeter of the garden as a simplified variable expression. Then evaluate the expression for
w = 15 feet.

Answer 1

Answer:

Perimeter = 6w + 10 feet

For w = 15 feet, perimeter = 100 feet

Step-by-step explanation:

The rectangular garden has a width of w feet and a length of 2w + 5 feet

The perimeter of a rectangle is the sum of all four sides

= length + width + length + width since opposite sides are equal

= 2(length  + width)

= 2(2w + 5 + w)

= 2(3w + 5)

= 6w + 10

For w = 15' substitute 15 for w in the above expression to get
6(15) + 10

= 90 + 10

= 100