Calculate the area of a rectangle if one of its sides is 29 cm larger than the other, and the perimeter

Calculate the area of a rectangle if one of its sides is 29 cm larger than the other, and the perimeter of the rectangle is 126 cm.

Let us denote by x the smaller side of the rectangle and compose the equation for the length of its perimeter:

2x + 2 (x + 29) = 126.

We solve the equation:

2x + 2x + 58 = 126;

4x = 68.

x = 68/4 = 17 (cm);

the second side of the rectangle will be:

17 + 29 = 46 (cm);

the area of the rectangle will be:

17 * 46 = 782 cm2.