Need the answer, i want to make sure its right.

The area of a rectangular garden is 156 square meters. The width is 7 meters longer than one-half of the length. Find the length and the width of the garden.

I think the width is 13 and the length is 12

A=LW

W=7 + (1/2) L

A=156

L (7 + (1/2) L) = 156

7L + (1/2) L^2=156

times both sides by 2

L^2+14L=312

minus 312 both sides

L^2+14L-312=0

what 2 numbers multiply to get - 312 and add to get 14?

-12 and 26

(L-12) (L+26) = 0

set to zero

L-12=0

L=12

L+26=0

L=-26, false, can't have negative measure

L=12

W=7 + (1/2) L

W=7 + (1/2) (12)

W=7+6

W=13

length=12m

width=13m