Question

Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden. The square garden is x feet by x feet.

Old garden area = New garden area

x2 = (2x)(x – 16)

x2 = 2x2 – 32x

0 = x2 – 32x

What is the value of x that makes sense in this context?
A. 0ft
B. 8ft
C. 32ft

What are the dimensions of the new garden?
A. 32ft by 32ft
B. 64ft by 16ft
C. 64ft by 32ft

Answer 1

Answer:

as you have correctly worked outlet me just take the last part and try to solve.

x^2 - 32x = 0

x(x - 32) = 0

either x = 0 or x = 32 option C

since dimension can not be zero, x = 32 feet is the answer.

dimension of the new garden = (2x)(x - 26)

= (2× 32)(32 - 16)

= 64 ft by 16 ft option B

sp option C for the first and option B for the second

Answer 2

Answer:

Answer above is almost correct, its D for the first and B for the second one

Step-by-step explanation:

Thats what it is on Edge