One side of the rectangle is 14 cm larger than the other, and its perimeter is 240 cm2, find the sides of the rectangle.

A rectangle is a rectangle with equal opposite sides and right angles.

The perimeter is the sum of all sides. For such a figure, it is determined by the formula:

P = 2a + 2b.

Provided that this value is 240 cm, and one side is 14 cm larger than the other, we find the lengths of all sides by writing the equation:

2a + 2 * (a + 14) = 240. Let’s expand the brackets:

2a + 2a + 28 = 240. Let’s perform actions with the coefficients of the variable on the left side of the equation, and move the number to the right, while the sign in front of it changes to the opposite:

4a = 240 – 28 = 212. To find the second factor, divide the product by the first:

a = 212: 4 = 53 cm – the width of the rectangle, therefore the length is: 53 + 14 = 67 cm.