# The perimeter of the rectangle is 46.2 in and the length is 3.7 in more than the width. Find the sides

March 30, 2021 | education

| As you know, the perimeter of a rectangle is calculated by the formula: P = (a + b) * 2, where a is the length of the rectangle, b is the width of the rectangle.

We have the second equation: a = b + 3.7.

Substitute all known values into the formula and calculate the sides of the rectangle: 46.2 = (b + 3.7 + b) * 2.

46.2 = (2b + 3.7) * 2.

46.2 = 4b + 7.4.

46.2 – 7.4 = 4b.

4b = 38.8.

b = 38.8 / 4 = 9.7.

Substitute in the second equation and find the length of the rectangle: a = 9.7 + 3.7 = 13.4.

Answer: The length is 13.7 inches and the width is 9.7 inches.

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