Question 263582
Let {{{a}}} = width of garden in ft
Let {{{b}}} = length of garden in ft
given:
{{{b = 2a}}}
The equation for perimeter is
{{{p = 2*(a + 4) + 2*(b + 4)}}} (note that I add 4 ft to the width and length
to account for the path around the garden)
{{{61 = 2*(a + 4) + 2*(b + 4)}}}
{{{61 = 2a + 8 + 2b + 8}}}
{{{61 = 2a + 2b + 16}}}
{{{2a + 2b = 45}}}
And, since {{{b = 2a}}}
{{{2a + 2*2a = 45}}}
{{{6a = 45}}}
{{{a = 7.5}}}
{{{b = 2a}}}
{{{b = 15}}}
The width is 7.5 ft and the length is 15 ft
check:
{{{61 = 2*(a + 4) + 2*(b + 4)}}}
 {{{61 = 2*(7.5 + 4) + 2*(15 + 4)}}}
{{{61 = 2*11.5 + 2*19}}}
{{{61 = 23 + 38}}}
{{{61 = 61}}}
OK