The perimeter of a rectangle is 5 meters 6 decimetres one of its sides is 6 times larger than the other

| September 9, 2021 | education

The perimeter of a rectangle is 5 meters 6 decimetres one of its sides is 6 times larger than the other Find the sides of the rectangle.

The perimeter of the rectangle is 5 meters 6 decimetres.
To find the sides of the rectangle, convert meters and decimeters to centimeters.
1 meter – 100 centimeters. 1 decimeter – 10 centimeters.
We get: 5 * 100 + 6 * 10 = 500 + 60 = 560 centimeters.
By convention, one side is 6 times larger than the other.
We designate one side for X (width), and the other for 6X (length). Since a rectangle has 4 sides (two lengths, two widths), and the perimeter is the sum of the lengths of all sides, we get the expression:
6X * 2 + X * 2 = 560 cm.
12X + 2X = 560 cm.
14X = 560 cm.
X = 40 cm – width.
Find the length. Since it is 6 times the width, we get the expression:
40 * 6 = 240 cm – length.
Answer: 40 cm; 240 cm.



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