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Question
Length and breadth of a bulletin board are r cm and t cm, respectively.
If 500 sq cm extra cloth per board is required to cover the edges, what will be the total area of the cloth required to cover 8 such boards?
Sum
Solution
We have given, length of the board = r cm and breadth = t cm.
Area of the cloth required for 1 board = Area of the board
= Length × Breadth
= r cm × t cm
= (rt) sq cm
Area of the cloth required for 8 boards = 8 × (rt) sq cm
= 8rt sq cm
But 500 sq cm extra cloth per board is required to cover the edges.
∴ For 8 boards we need 8 × 500 sq cm = 4000 sq cm extra cloth.
Thus, the total area of the cloth required = (8rt + 4000) sq cm
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Chapter 7: Algebra - Exercise [Page 114]