Question

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

Answer 1

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