Question

A photograph measures 8cm by 10cm.It is enlarged so that the shorter side becomes 12cm and the longer side xcm.find x? .

Answer 1

`x=15` cm.

Explanation:

Shorter side , `s=8` cm and after enlargement ,`s_e=12`

Enlargement ratio is `e_r=s_e/s=12/8=1.5` times . Longer

side ; `l=10` cm. On enlargement , longer side is

`x= l*e_r= 10*1.5=15 :. x=15` cm. [Ans]

Answer 2

`"longer side is 15cm"`

Explanation:

`"initial dimension of shorter side = 8 cm"`

`"initial dimension of longer side = 10 cm"`

`"final dimension ofshorter side = 12 cm"`

`"finial dimension of longer side = x cm"`

`"The enlargement always ensure the aspect ratio"`

`"aspect ratio = lonter side/shorter side"`

`"equating, "10/8=x/12`

`"Solving for x"`

`10xx12=8xxx`

`x=(10xx12)/8=120/8=15`

`"longer side is 15cm"`

Answer 3

`x=15" cm"`

Explanation:

`"we can express this as a ration in fractional form"`

`rArr8/12=10/xlarrcolor(blue)"cross multiply"`

`rArr8x=10xx12`

`rArrx=120/8=15" cm"`