The perimeter of a rectangle is 126cm. Find the area of a rectangle if its side lengths are 4: 5?

Given:
The perimeter of the rectangle is 126 centimeters.
The lengths of its sides are in the ratio of 4: 5.
That is, the length has four parts, and the width has five parts.
Let’s find how many parts are in the perimeter:
4 + 4 + 5 + 5 = 18 pieces.
Let’s find how many centimeters are one part:
126: 18 = 7 centimeters.
Let’s calculate the length of the rectangle:
7 * 4 = 28 centimeters.
Let’s find the width of the given shape:
7 * 5 = 35 centimeters.
Let’s calculate the area of the quadrangle:
28 * 35 = 980 cm2.
Answer: 980 cm2.