A triangle has sides of length 'a' cm, (25 - a) cm and (2a +3) cm. If the perimeter is 40 cm, find the length of 'a' cm. Perimeter is distance around an object. To find perimeter, add up all the sides. a + (25 - a) + (2a + 3) = 40 {perimeter equals all sides added together} a + 25 - a + 2a + 3 = 40 {removed parentheses} 2a + 28 = 40 {combined like terms} 2a = 12 {subtracted 28 from each side} a = 6 {divided each side by 2} a = 6 cm - Algebra House
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