Question

Ana knows the perimeter of her backyard is 6x+14x. if the length of her yard is 2x+3x-7,what is the width of her backyard? answer

Answer 1

Using the simple Perimeter formula we can set up our equation.
$p = 2l + 2w$
$6x + 14x = 2(2x + 3x - 7) + 2w$
$20x = 4x + 6x - 14 + 2w$
$10x = - 14 + 2w$
$10x + 14 = 2w$
$5x + 7 = w$
Therefore the width is 5x + 7.