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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