Question

Cho is making a rectangular garden, where the length is x feet and the width is 2x + 1 feet. He wants to add garden stones around the perimeter of the garden once he is done. If the garden is 6 feet long, how many feet will Cho need to cover with garden stones? Cho will need to cover______ feet with garden stones.

please help

Answer 1

The length of the garden 6 feet. Because the length is also represented by 'x', we can say that x = 6. Then, we can substitute 6 in for x in the width's equation and simplify into 13 feet. Finally, we can plug those numbers into the equation to find the perimeter of a rectangle and simplify.

x = 6
2(6) + 1 = w (width)
12 + 1 = w
13 = w & 6 = l (length)

2(l) + 2(w) = p (perimeter)
2(6) + 2(13) = p
12 + 26 = p
38 = p

Cho will need to cover 38 feet with garden stones.

Hope this helps!

Answer 2

A rectangle with sides: x, 2x+1

So the perimeter is: 2·x + 2·(2x+1) = 2x + 4x +2 = 6x+2

Substitute x = 6 and solve:

6(6) + 2 = 36 + 2 = 38 feet of garden stones.