Find the sides of a rectangle if its area is 75 cm squared, and one side is 3 times the other

Find the sides of a rectangle if its area is 75 cm squared, and one side is 3 times the other. find the sides of the rectangle.

1. Vertices of the rectangle – M, N, P, K. The area of the rectangle S = 75 centimeters². MK is 3 times larger than MN.

2. MK is larger than MN by 3 times according to the problem statement. Therefore, MK = 3МN.

3. S = MN x MK = 75 centimeters². We replace MK with 3МN in this expression:

МN х 3МN = 75 centimeters².

3МN² = 75 centimeters².

МN² = 25 centimeters².

MN = 5 centimeters.

MK = 3MN = 3 x 5 = 15 centimeters.

Answer: MN = RK = 5 centimeters. MK = NP = 15 centimeters.