Asked by Anonymous
Find the length of each side when the perimeter of the rectangle is 72 cm. one side is X and the other side is 2x+3
Answers
Answered by
Bosnian
P = 2 a + 2 b
In your case : a = x , b = 2 x + 3
P = 2 a + 2 b = 72
P = 2 x + 2 * ( 2 x + 3 ) = 72
2 x + 4 x + 6 = 72
6x + 6 = 72 Subtract 6 to both sides
6 x + 6 - 6 = 72 - 6
6 x = 66 Divide both sides by 6
x =11
x = a = 11 cm
b = 2 x + 3
b = 2 * 11 + 3 = 22 + 3 = 25 cm
P = 2 a + 2 b
P = 2 * 11 + 2 * 25
P = 22 + 50 = 72 cm
In your case : a = x , b = 2 x + 3
P = 2 a + 2 b = 72
P = 2 x + 2 * ( 2 x + 3 ) = 72
2 x + 4 x + 6 = 72
6x + 6 = 72 Subtract 6 to both sides
6 x + 6 - 6 = 72 - 6
6 x = 66 Divide both sides by 6
x =11
x = a = 11 cm
b = 2 x + 3
b = 2 * 11 + 3 = 22 + 3 = 25 cm
P = 2 a + 2 b
P = 2 * 11 + 2 * 25
P = 22 + 50 = 72 cm
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