A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

1 Answer

Width "= 10 meters"
Length "= 15 meters"

Explanation:

Given:

Width = x

Length = 2x - 5

Perimeter = 50

"Perimeter" = 2xx "length" + 2 xx "width"

Substitute:

50 = 2(2x - 5) + 2(x)

Simplify:

50 = 4x - 10 + 2x

50 = 6x - 10

60 = 6x

x = 10

Substitute (FINALLY)

Width:

x = 10

So width "= 10 meters"

Length:

2x - 5 = 2(10) - 5

= 20 - 5 = 15

So length "= 15 meters"