Question

[PLEASE HELP] The area of Bethany's garden will be 48 square feet once she expands it. She is not going to change the measurement on one side, but the other side will be 8 feet longer than before. The equation that models this situation and can be used to determine the possible dimensions of Bethany's garden is x^2 +8x -48. Factor to determine the possible dimensions of Bethany's new garden.

Answer 1

12 feet × 4 feet

Explanation:

x² + 8x - 48 = 0

x² + 12x - 4x - 48 = 0

x(x + 12) - 4(x + 12) = 0

(x - 4)(x + 12) = 0

x = 4, -12

x = 4

New dimensions:

4 + 8 = 12

48/12 = 4

Answer 2

4 ft by 12 ft

Explanation:

x^2 +8x -48

Set this equal to 0 to solve for the values of x

x^2 +8x -48=0

What two values multiply to -48 and add to 8

12*-4 = -48

12+-4 = 8

(x+12) (x-4) = 0

Using the zero product property

x+12 = 0 x-4=0

x=-12 x=4

We cant have a negative length

x=4

The area is 48

48/4 = 12

The other dimension is 12