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

Let the base be x, then the height is 0.75 * x. Let’s make the equation:
0.75x * x = 45;
0.75 * x ^ 2 = 45;
x ^ 2 = 45 / 0.75;
x ^ 2 = 60;
x = (root of 60) = (2 √15) cm – base length;
height = 0.75 * (2 √ 15) = 1.5 * (√15) cm.
P = (2 * 2 √ 15) + (2 * 1.5 roots of 15) = (4√ 15) + (3 √15) = (7 √15) cm.
Answer: (7 √ 15) cm.



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