One side of the rectangle is 15 cm larger than the other and the area of the rectangle is 250 cm2

One side of the rectangle is 15 cm larger than the other and the area of the rectangle is 250 cm2, determine the lengths of the sides of the rectangle.

We are given a rectangle, one side of which is 15 centimeters larger than the other, and the area of ​​which is 250 cm², we need to find the lengths of the sides of this rectangle, let’s start solving:

We denote the length by the letter x, then the width will be x – 15, since the width is always less than the length in a rectangle and, by condition, one side is 15 centimeters less than the other, then we will compose the equation for finding the area and solve it:

x * (x – 15) = 250;

x² – 15x – 250 = 0;

D = sqrt (1225);

D = 35

x (1) = (15 + 35) / 2 = 25 centimeters hence the length is 25 centimeters, x2 <0, therefore it does not fit.

So we know the length – 25 centimeters, then the width will be 25 – 15 = 10 centimeters.

Answer: length 25 centimeters, width – 10 centimeters