One side of the rectangle is 7 times larger than the other. find its area if its perimeter is 64cm

We introduce the variable x, denote its length of one side of the rectangle, then the length of the second side (provided that it is 7 times greater than the first) can be written as follows – 7x.

Let’s recall the formula for finding the perimeter of a rectangle:

P = 2 (a + b);

We substitute the known values and the expressed values into the formula and get the equation:

2 (x + 7x) = 64;

Divide both sides of the equation by 2:

x + 7x = 64: 2;

x + 7x = 32;

We give similar ones on the left side of the equation:

x (1 + 7) = 32;

8x = 32;

x = 32: 8;

x = 4 cm length of one side, 4 * 7 = 28 cm length of the second side.

S = a * b = 4 * 28 = 112 cm ^ 2.