The perimeter of the rectangle is 80 cm. Find the side of the rectangle if one side is 4 cm larger than the other.
June 19, 2021 | education
| We are given a rectangle with a perimeter P = 80 cm,
Let the first side of the rectangle be X. The condition says that the second side is 4 cm larger than the first side, which means the second side is equal to (X + 4) cm. Now we will compose and solve the equation.
First, we need to write down the formula for the perimeter of a rectangle:
P = 2 * (a + b), now we substitute all our values and get the equation ‘
2 * (X + X + 4) = 80
2 * X + 4 = 80 ÷ 2
2 * X = 40 – 4
2 * X = 36
X = 36 ÷ 2
X = 18 (cm) first side,
18 + 4 = 22 (cm) second side.
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