# The length of the rectangle is 4 m 50 cm longer than its width, and the width is 4 times

June 30, 2021 | education

| **The length of the rectangle is 4 m 50 cm longer than its width, and the width is 4 times less than the length. calculate the perimeter and area of the rectangle.**

1. Let’s take the length of the rectangle for x, for its width.

2.4m 50cm = 4.5m.

2. Let’s compose two equations:

x – y = 4.5;

x / y = 4. From this equation we find x = 4y. Substituting the value of x in the first equation, we get:

4y – y = 4.5;

3y = 4.5;

y = 1.5.

x = 1.5 x 4 = 6.

The perimeter of the rectangle is 1.5 x 2 + 6 x 2 = 15 m.

The area of the rectangle is 1.5 x 6 = 9 m ^ 2.

Answer: The perimeter of the rectangle is 15 m, the area is 9 m ^ 2.

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