Question

A rectangle garden measures 15m by 24m. A larger garden is to be made by increasing each side by the same amount. The resulting area is to be 1.5 times the original area. Find the dimensions of the new garden to the nearest tenth of a metre.

Answer 1

(15+x)(24+x)=(15*24)(1.5)

This should help.

Answer 2

A=15 x 24=360 existing garden
A=360 x 1.5=540
W=15+2x L= 24+2x
(15+2x)(24+2x)= 540
4x*2+78x-180=0
x=-78+or- square root of 78*2-4(4)(-180)/2(4)
=-78+or - sq root 6084 +2880/8
=89 or 66

OR
540=15(1.5)x 24(1.5)
= 22.5 x 36=810 not correct??

Answer 3

(15+x)(24+x)= (15*24)(1.5)
360+15x+24x+x^2=540
x^2+39x-180=0
cannot factor?
tried quadratic equation, got x=+/-15.33??

Answer 4

Redid the quadratic equation, got 4.16 or -43.16
Rounded 4.16 to 4.2 Sub'ed into dimensions
15+4.2=19.2 & 24+4.2=28.2
19.2 x 28.2 =541.44, close to 540

IS THIS CORRECT?

Answer 5

please reply

Answer 6

Yes it is correct but how come we don’t put 2x?