To answer the question of the problem, we will compose and solve the equation. The condition states that the perimeter of the parallelogram is 46 inches, and it is also known that one of the sides is 7 inches less than the other.
To compose the equation, we will use the formula to find the perimeter of a parallelogram.
P = 2 (a + b);
Let’s introduce the variable x dm, denoting the length of one of the sides, then the length of the second side (x – 7) dm.
2 (x + (x – 7)) = 46;
x + x – 7 = 46: 2;
2x – 7 = 23;
2x = 23 + 7;
2x = 30;
x = 30: 2;
x = 15 in and 15 – 7 = 8 in side lengths.
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