[PLEASE HELP] The area of Bethany's garden will be 48 square feet once she expands it. She is not going to change the measuremen

Question

3 years ago

5

[PLEASE HELP] The area of Bethany's garden will be 48 square feet once she expands it. She is not going to change the measuremen

t 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.

Mathematics

2 answers:

DanielleElmas [232] · Answer 1 · 2022-09-15T02:46:30+03:00

DanielleElmas [232]3 years ago

7 0

Answer:

12 feet × 4 feet

Step-by-step 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

NARA [144] · Answer 2 · 2022-09-15T01:43:39+03:00

Answer:

4 ft by 12 ft

Step-by-step 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