The length of a board is thrice its breadth. If the perimeter of the board is 720 cm, find the dimensions of the board. If the cost of painting the board is rs 20 per square metre, find the cost of painting the board on one side?
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Let the breadth of board be x and length be 3x.
therefore perimeter of board =
2(l+b) = 720
➡ 2 ( x + 3x ) = 720
➡ 2( 4x ) = 720
➡ 8x = 720
➡ x = 720/8
➡ x = 90
length = 3x = 90*3 = 270 cm
breadth = x = 90 cm
Now, area of board = l * b
➡ 270 * 90 = 24300 cm²
Cost of painting 1 cm² = Rs 20
therefore ,
cost of painting 24300 cm² = 24300 * 20
➡ Rs 486000.
Answer :- cost of painting board on one side is Rs 486000.
Hope it will help you !!!
therefore perimeter of board =
2(l+b) = 720
➡ 2 ( x + 3x ) = 720
➡ 2( 4x ) = 720
➡ 8x = 720
➡ x = 720/8
➡ x = 90
length = 3x = 90*3 = 270 cm
breadth = x = 90 cm
Now, area of board = l * b
➡ 270 * 90 = 24300 cm²
Cost of painting 1 cm² = Rs 20
therefore ,
cost of painting 24300 cm² = 24300 * 20
➡ Rs 486000.
Answer :- cost of painting board on one side is Rs 486000.
Hope it will help you !!!
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