Question

Family photograph has length `14 2/5` cm and breadth `10 2/5` cm. It has border of uniform width `2 3/5` cm. Find the area of framed photograph.

Answer 1

Length of family photograph

= `14 2/5` cm

= `((14 xx 5) + 2)/5`

= `72/5` cm

Breadth of family photograph

= `10 2/5` cm

= `((10 xx 5) + 2)/5`

= `52/5` cm

New length including border (from both sides)

= `72/5 + (2 3/5 xx 2)`

= `72/5 + (13/5 xx 2)`

= `72/5 + 26/5`

= `(72 + 26)/5`

= `98/5` cm

New width including border (from both sides)

= `52/5 + (2 3/5 xx 2)`

= `52/5 + 26/5`

= `(52 + 26)/5`

= `78/5` cm

∴ Area of framed photograph

= Length × Breadth

= `98/5 xx 78/5`

= `7644/25`

= `305 19/25` cm²

Hence, the area of framed photograph is `305 19/25` cm².