# The rectangle is 40 cm wide and 135% long. Find the perimeter and area.

March 27, 2021 | education

| We know the width of the rectangle (40 cm), and its length is 135% of the width.

To find the length of the rectangle, compose and solve the proportion.

40 cm – 100%;

x cm – 135%.

40 / x = 100/135;

Now we are looking for the unknown middle term of the proportion:

x = (40 * 135) / 100 = 5400/100 = 54 cm width of the rectangle.

We are looking for the area of a rectangle using the formula: S = a * b, where a is the length and b is the width.

S = 54 * 40 = 2 160 cm2.

We are looking for the perimeter by the formula:

P = 2 * (a + b), where a – length, b – width.

P = 2 * (54 + 40) = 2 * 94 = 188 cm.

Answer: 188 cm, 2 160 cm2.

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