The height of the rectangle is 75% of its base. Find the pyremeter of this rectangle if the area of the rectangle is 45 cm2.

1. According to the problem statement, given: the height of the rectangle is 75% of its base, the area is 45 cm².
It is known that the area S is equal to the product of the base and the height.
Let’s designate the height as a cm.
2. First, we determine the value of the side of the rectangle according to the rule: to find a number by its part, it is necessary to divide the part by a fraction expressing this part.
a: 0.75 = 1.33 a.
So the area S is expressed as a * 1.33 a = 1.33 a² = 45 cm²,
whence a = √45: 1.33 = √33.83 = 5.82 cm
3. Let’s calculate what the perimeter P of the rectangle with the side of the base is equal to
5.82 cm * 1.33 = 7.74 cm.
P = 2 * 5.82 cm + 2 * 7.74 cm = 11.64 cm + 15.48 cm = 27.12 cm.
Answer: The perimeter is 27.12 cm.