One side of the rectangle is 4 cm longer than the other. find the length of the sides of a rectangle
August 18, 2021 | education
| One side of the rectangle is 4 cm longer than the other. find the length of the sides of a rectangle if its perimeter is 22 cm.
To solve the problem, we will compose and solve a linear equation.
Let us denote by the variable x cm – the length of one of the sides of the rectangle, then, based on the condition that one of the sides of the rectangle is 4 cm longer than the other, we can write the length of the second side as (x + 4) cm.
Let’s remember the formula for finding the perimeter of a rectangle.
P = 2 (a + b);
Substitute and solve a linear equation in one variable.
2 (x + x + 4) = 22;
x + x + 4 = 22: 2;
2x + 4 = 11;
2x = 11 – 4;
2x = 7;
x = 7: 2;
x = 3.5 cm is the length of one of the sides, 3.5 + 4 = 7.5 cm is the length of the second side.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.