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Question
A strip of 4 cm wide is cut and removed from all the sides of the rectangular cardboard with dimensions 30 cm × 20 cm. Find the area of the removed portion and area of the remaining cardboard
Solution
Area of the outer rectangular cardboard
= L × B sq.units
= 30 × 20 cm2
= 600 cm2
Width of the stip = 4 cm
Length of the inner rectangle = L – 2W
l = 30 – 2(4)
= 30 – 8
l = 22 cm
Breadth of the inner rectangle B = 2W
= 20 – 2(4)
= 20 – 8
b = 12 cm
Area of the inner rectangle = l × b sq.units
= 22 × 12 cm2
= 264 cm2
Area of the remaining cardboard = 264 cm2
Area of the removed portion = Area of outer rectangle – Area of the inner rectangle
= 600 – 264 cm2
Area of the removed portion = 336 cm2
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