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.