Question
Length and breadth of a bulletin board are r cm and t cm respectively. [4 MARKS]
(i) What will be the length (in cm) of the aluminium strip required to frame the board, if 10 cm extra strip is required to fix it properly.?
(ii) If x nails are used to repair each board, how many nails will be required to repair 15 such board?
(iii) If 500cm2 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?
(iv) What will be the expenditure for making 23 boards, if the carpenter charges Rs x per board?
(i) What will be the length (in cm) of the aluminium strip required to frame the board, if 10 cm extra strip is required to fix it properly.?
(ii) If x nails are used to repair each board, how many nails will be required to repair 15 such board?
(iii) If 500cm2 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?
(iv) What will be the expenditure for making 23 boards, if the carpenter charges Rs x per board?
Answer:
:
Each Point: 1 Mark
Perimeter of the bulletinboard =2(r+t)cm
Area of thebulletinboard =rtcm2
(i) Length (in cm) of the aluminium strip required to frame the board = Perimeter + extra strip
= 2(r+t)+10cm
(ii) Repairing 1 board requires x nails.
∴ Number of nails required to repair 15 boards = 15x
(iii) Total area of cloth required = Area of 8 bulletin boards + Area of extra cloth required for 8 boards
= (8×r×tcm2) + (8×500cm2)
= (8rt+4000)cm2
(iv) Carpenter's charge for making 1 board = Rs x
∴ Expenditure for making 23 boards = Rs23x
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:
Each Point: 1 Mark
Perimeter of the bulletinboard =2(r+t)cm
Area of thebulletinboard =rtcm2
(i) Length (in cm) of the aluminium strip required to frame the board = Perimeter + extra strip
= 2(r+t)+10cm
(ii) Repairing 1 board requires x nails.
∴ Number of nails required to repair 15 boards = 15x
(iii) Total area of cloth required = Area of 8 bulletin boards + Area of extra cloth required for 8 boards
= (8×r×tcm2) + (8×500cm2)
= (8rt+4000)cm2
(iv) Carpenter's charge for making 1 board = Rs x
∴ Expenditure for making 23 boards = Rs23x
Was this answer helpful ?
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