# The length of the rectangle is 50 cm, and its perimeter is 160 cm.

**The length of the rectangle is 50 cm, and its perimeter is 160 cm. How much should the width of the rectangle be increased to obtain a rectangle with the perimeter of 174 cm?**

1. The perimeter of a rectangle is determined by the formula:

P = 2 * (a + b), where a and b are the length and width of the rectangle.

Let’s make the equation:

2 * (50 + X) = 160;

100 + 2X = 160;

2X = 160 – 100;

2X = 60;

X = 30 (cm) – the width of the rectangle.

2. Make an equation when the perimeter of the rectangle is 174 cm and find the width:

2 * (50 + X) = 174;

100 + 2X = 174;

2X = 174 – 100;

2X = 74;

X = 37 (cm) – the new width of the rectangle.

3. Find how many cm you need to increase the width:

37 – 30 = 7 (cm).

Answer: 7 cm.

1. The perimeter of a rectangle is determined by the formula:

P = 2 * (a + b), where a and b are the length and width of the rectangle.

Let’s make the equation:

2 * (50 + X) = 160;

100 + 2X = 160;

2X = 160 – 100;

2X = 60;

X = 30 (cm) – the width of the rectangle.

2. Make an equation when the perimeter of the rectangle is 174 cm and find the width:

2 * (50 + X) = 174;

100 + 2X = 174;

2X = 174 – 100;

2X = 74;

X = 37 (cm) – the new width of the rectangle.

3. Find how many cm you need to increase the width:

37 – 30 = 7 (cm).

Answer: 7 cm.