# The perimeter of the rectangle is 18 cm. What is the side of the rectangle if one side is 7 cm larger than the other.

July 23, 2021 | education

| 1. A, B, C, D – the vertices of the rectangle. P is the perimeter.

2. According to the condition of the problem, AD is more than AB by 7 cm. AD = AB + 7.

3. To calculate the lengths of the sides of a rectangle, we will use the formula for calculating its perimeter:

P = 2AD + 2AB = 18 cm.

AD + AB = 9 cm.

AB + 7 + AB = 9 cm.

2AB = 2 cm.

AB = 1 cm

AD = 1 + 7 = 8 cm.

Answer: the sides of the rectangle are AD = BC = 8 centimeters, AB = CD = 1 centimeter.

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