A picture is painted on a cardborad 8 cm long and 5 cm wide such that

1.	A picture is painted on a cardborad 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Answer» Length of the outer rectangle L = 8 cm Breadth of the outer rectangle B = 5 cm Area of the outer rectangle = L x B sq. units = 8 x 5 cm² = 40 cm² Length of the inner rectangle l = L – 2W = 8 – 2(1.5)cm = 8 – 3cm l = 5cm Breadth of thqnner rectangle b = B – 2W = 5 – 2(1.5) cm = 5 – 3cm = 2cm ∴ Area of the margin = Area of the outer rectangle – Area of the inner rectangle = (40 – 10) cm² = 30cm²

A picture is painted on a cardborad 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.

Answer»

Length of the outer rectangle L = 8 cm

Breadth of the outer rectangle B = 5 cm

Area of the outer rectangle = L x B sq. units

= 8 x 5 cm²

= 40 cm²

Length of the inner rectangle l = L – 2W

= 8 – 2(1.5)cm

= 8 – 3cm

l = 5cm

Breadth of thqnner rectangle b = B – 2W

= 5 – 2(1.5) cm

= 5 – 3cm

= 2cm

∴ Area of the margin = Area of the outer rectangle – Area of the inner rectangle

= (40 – 10) cm²

= 30cm²