The length of the platform is 70 m longer than the width. The perimeter is 1/2 km.

The length of the platform is 70 m longer than the width. The perimeter is 1/2 km. How many meters are the length and width?

According to the condition of the assignment, we write down the equation and determine the sides of the rectangular area if the sum of all sides is ½ km or 500 m (1 km = 1000 m), and the length is 70 m greater than the width.

The formula for calculating the sum of all sides of such a figure corresponds to:

P = 2a + 2b.

Substitute the known values, take the smallest side for “x”:

2 * (x + 70) + 2x = 500.

Let’s expand the brackets:

2x + 140 + 2x = 500.

On the left side of the equation, we perform actions with the coefficients of the variable, and transfer the known number to the right, while changing the sign in front of it to the opposite.

4x = 500 – 140 = 360.

The second factor is the quotient of the first.

x = 360: 4 = 90.

Therefore, width = 90 m, length = 90 + 70 = 160 m.