a picture is painted on a card board 8cm long and 5 cm wide such that there is a margin of 1.5cm lomg each of its sides .find the area of the path
Here is the answer to your query.
Let ABCD be the given picture.
Then EFGH is the cardboard.
also PA = DQ = DR = CS = 1.5 cm (margin)
Now EH = PQ = PA + AD + DQ = 1.5 cm + 8 cm + 1.5 cm = 11 cm
and HG = RD + DC + CS = 1.5 cm + 5 cm + 1.5 cm = 8 cm
we know that area of rectangle = Length × breadth
⇒ Area of picture (ABCD) = AD × DC = 8 cm × 5 cm = 40 cm2
and Area of cardboard (EFGH) = EH × HG = 11 cm × 8 cm = 88 cm2
Hence Area of margin = Area of cardboard – Area of picture
= 88 cm2 – 40 cm2 = 48 cm2