One of the sides of the parallelogram is 4 times smaller than the other side. Find the length of the longer side if the parallelogram perimeter is 50 cm.
ABCE – parallelogram,
AB = 4 * BC,
the perimeter of ABCE is 50 centimeters.
Find the length of the larger side of the parallelogram AВСD, that is, AB -?
Consider a parallelogram ABCE. Its opposite sides are equal to each other, then BC = AE, AB = CE.
Let the length of the BC side be x centimeters, then the length of the AB side = 4 * x centimeters. We know that the ABCE perimeter is 50 centimeters. Let’s make the equation:
P avce = AB + CE + BC + ADE
50 = 4 * x + 4 * x + x + x;
50 = x * (4 + 4 + 1 + 1);
10 * x = 50;
x = 50: 10;
x = 5 centimeters – the lengths of the sides BC and AE;
4 * 5 = 20 centimeters – the lengths of the sides AB and CE90.
Answer: 20 centimeters.
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