(Equation)The perimeter of a rectnagle is 82cm. The lengths in cm of 2 ajacent sides are consecutive integers.
Write an equation for the above statement.
2007-09-26 10:22:52 · 3 answers · asked by Ichabod 1 in Science & Mathematics ➔ Mathematics
* spelled rectangle wrong
2007-09-26 10:44:30 · update #1
(2xH)+(2xW)=82
Height = 20
Width = 21
..
2007-09-26 10:45:22 · answer #1 · answered by muddypuppyuk 5 · 0⤊ 0⤋
Sides are L and W
we know L = W + 1 [adjacent sides are consecutive integer]
Perimeter = 2L + 2W
Putting it all together:
82 = 2(W+1) + 2W
82 = 2W + 2 + 2W
82 = 4W + 2
4W = 80
W = 20
Since L = W + 1
L = 20 + 1
L = 21
2007-09-26 17:48:26 · answer #2 · answered by PeterT 5 · 0⤊ 0⤋
2 x + 2 (x + 1) = 82
4x = 80
x = 20
Sides are 20 cm and 21 cm
2007-09-30 14:22:06 · answer #3 · answered by Como 7 · 0⤊ 0⤋