The perimeter of the rectangle is 70cm, and its length is 15cm longer than the width.

The perimeter of the rectangle is 70cm, and its length is 15cm longer than the width. Find the length and width of the rectangle. Clean out its area.

Given:
length – 15 cm more;
width -? cm;
P = 70 cm.
S =? cm².
The perimeter is calculated by the formula: P = 2 * (a + b) – where, a – length, b – width.
Let’s take as a-width, b – length, then b = a + 15.
P = 2 (a + b) = 2 (a + a + 15) (cm).
P = 70 (cm).
70 = 2 * (a + a + 15)
35 = 2a + 15
2a = 20
a = 10 (cm).
Therefore: b = a + 15 = 10 + 15 = 25 (cm).
The area of a rectangle is equal to the product of its sides and is calculated by the formula:
S = a * b.
S = a * b = 10 * 25 = 250 (cm²)
Answer: 10 cm rectangle length, 25 cm rectangle width, 250 cm² rectangle area.