Joe’s rectangular garden is 6 meters long and 4 meters wide. He wishes to double the are of his garden by increasing its length

Question

2 years ago

12

and width by the same amount. Find the number of meters by which each dimension must be increased.

1 answer:

Travka [436] · Answer 1 · 2022-08-17T18:13:40+03:00

8 0

Answer:

ANSWER: Increase each dimension by 2 meters.

Step-by-step explanation:

L=length; W=width; X=amount of increase; A=area

.

(L+X)(W+X)=2(LW)

(6m+X)(4m+X)=2(6m)(4m)

X^2+10X+24=48

X^2+10X-24=0

(X-2)(X+12)=0

(X-2=0) OR (X+12=0)

X=2 OR X=-12

X=2 meters