A rectangle with sides of 15 m and 6 m was divided into two parts so that the area of one part

A rectangle with sides of 15 m and 6 m was divided into two parts so that the area of one part was four times the area of the other part. What is the area of each part?

1. Let’s write down the formula for the area of a rectangle:
S = a * b;
2. Find the area of the original rectangle using the formula:
S = 15 * 6 = 90 (m2);
3. When dividing, it turned out that the area of one part turned out to be 4 times larger than the area of another part. Let the area of the smaller part be S2, and the larger one S1. Then:
S1 = 4 * S2;
S = S2 + S1;
S = 4 * S2 + S2 = 5 * S2;
5 * S2 = 90;
S2 = 90/5;
S2 = 18 (m2);
S1 = 4 * S2 = 4 * 18 = 72 (m2);
Answer: the area of the first part is 18 m2, and the second – 72 m2.