Question

Which equation would best help solve the following problem?



Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?

Answer 1

A.255 = (12)(14)
B.255 = (12 + x2)(14)
C.255 = (12 + x)(14 + x)
D.255 = (12 – x)(14 – x)

Answer 2

@SolomonZelman @iambatman

Answer 3

What do you think ?

Answer 4

If you are increasing each dimension by x, then ...

Answer 5

Well, B? It is increasing by 2x

Answer 6

not 2x, x^2
the new are is 255
your increasing 12 by x and 14 by x
when multiplied they equal the new area

Answer 7

EACH dimension increases by x.

Answer 8

Oh so * each by +x?

Answer 9

Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?

A.14 m wide
B.17 m wide
C.16 m wide
D.15 m wide

Answer 10

Going with C for the first one

Answer 11

good job, C is right for number 1

Answer 12

Thanks

Answer 13

(12 + x)(14 + x) = 255 x^2 + 26x + 168 = 255 x^2 + 26x - 87 = 0 (x + 29)(x - 3) x = -29, 3 x = 3 (increased by) so new dimensions is 15, 17 length is 17 m

Answer 14

to do number 2 just solve the quadratic equation
255=(x+14)(x+12)
255=x^2+26x+168
0=x^2+26-87
0=(x+29)(x-3)
0=x+29
x=-29 and x=3
x=3 is the only sensible solution
3+12=15
so 15 m wide

Answer 15

Ty

Answer 16

Is 17 the Longer length?

Answer 17

@acxbox22

Answer 18

yes

Answer 19

Thanks