The length of the rectangle is 2 cm more than the width, find the lengths of the sides of the perimeter
| June 16, 2021 | education
The length of the rectangle is 2 cm more than the width, find the lengths of the sides of the perimeter of the rectangle if the perimeter is 12 cm.
The formula by which we find the perimeter.
P = 2 * (a + b).
a – length and it is 2 cm more than width.
b – width.
Take the width of the rectangle as x cm.
Let x + 2 cm be the length of the rectangle.
P = 2 * (x + 2 + x).
P = 12 cm.
12 = 2 (x + 2 + x).
12 = 2 x + 4 + 2 x.
12 = 4 x + 4.
4 x = 12 – 4.
4 x = 8.
x = 8: 4.
x = 2 cm width.
2 + 2 = 4 cm length.
Let’s check.
12 = 2 * (2 + 4).
12 = 2 * 6.
12 = 12.
Answer: 2 cm width of the rectangle, 4 cm length of the rectangle.
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