# The side of the rectangle is 13cm larger than its base. The perimeter of the triangle is 68 cm. Find the sides of the triangle

August 30, 2021 | education

| Let x cm be the two smaller sides of the rectangle, that is, x cm are two widths.

Let x + 13 cm be the two lengths of the rectangle.

Let’s make the equation:

x + x + 13 = 68;

2 x + 13 = 68;

2 x = 68 – 13;

2 x = 55;

x = 55: 2;

x = 27.5 cm two widths.

27.5: 2 = 13.75 cm width.

27.5 + 13 = 40.5 cm two lengths.

40.5: 2 = 20.25 cm length.

We check:

P = 2 * (13.75 + 20.25);

P = 2 * 34;

P = 68 cm.

Answer: One side is 13.75 cm, the other is 20.25 cm.

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