Question

Harry needs to build a fence around his garden, but first he must figure out the dimensions of his garden. The length of his rectangular garden is 6 more than the width, and the area of the garden is 27 m units. Determine the dimensions of Harry’s garden.

Answer 1

width=3m

length=9m

Explanation:

-Let w be the width of the garden.

-Given that the length is 6 units more than the width, l=w+6

-We apply the area formula to solve for w:

`A=lw\\\\27=w(w+6)\\\\w^2+6w-27=0\\\\\#Apply \ Complete \ Squares\\\\w^2-3w+9w-27=0\\\\w(w-3)+9(w-3)=0\\\\(w-3)(w+9)=0\\\\w=3 \ \ \or w=-9\\\\\therefore w=3m\\\\l=w+6=3+6=9m`

Hence, the garden's width is 3 m and the length is 9 m