A strip of width 3cm is cut out all around from a sheet of paper with dimensions 30cm by 20cm. What will be the length and breadth of the remaining sheet?
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Answer:
Let ABCD denotes the rectangle.
Length of the sheet = 30 cm
Breadth of the sheet = 20 cm
Area of the sheet = (30×20)=600cm²
A strip of width 3 cm is cut out all round from a sheet of paper
Let that form a rectangle PQRS
Length of the rectangle PQRS = 30-3-3 = 24 cm
Breadth of the rectangle = 20-3-3 = 14 cm
Area of the rectangle PQRS = 24×14=336cm²
Area of the strip cut out = Area of ABCD - Area of PQRS = 600cm²−336cm² =264cm²
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Step-by-step explanation:
if the width of 3cm is cut arounf tge sheet...
breadth and length gets reduced by 2 times the width which is cut..
so,
breadth = 20 - 2(3)
=20-6 = 14cm
length = 30 - 2(3)
= 30-6 = 24 cm
so the new dimension of the sheet is 24cm by 14 cm
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