The rectangle is 35% longer than its width. Find the sides of a rectangle if its perimeter is 94 mm.

Let’s find the half-perimeter of the rectangle, this is necessary because the half-perimeter is the sum of the length and width.

P / 2 = a + b, where P is the perimeter of the rectangle, a is the width of the rectangle, in is the width of the rectangle.

Because neither the width nor the length are known, we denote that the width of the rectangle is x mm, then the length of the rectangle is (x + x * 0.35) mm. Let’s make the equation:

x + x + x * 0.35 = 94;

2.35x = 94;

x = 94: 2.35;

x = 40 (mm) – the width of the rectangle;
40 + 40 * 0.35 = 40 + 14 = 54 (mm) – the length of the rectangle.