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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 - Mathematics

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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]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 7 Algebra
Exercise | Q 95.(iii) | Page 114
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