A rectangle has one side 8cm larger than the other. The sum of the sides is 46cm. Find the area of the rectangle.

We will solve this problem by writing an equation;

Let x cm be the width of the given rectangle;

Then x + 8 cm is the value of the length of the rectangle given to us;

(x + x + 8) * 2 cm is the value of the perimeter of the rectangle given to us;

We also know that the value of the perimeter of this rectangle is 46 cm, we compose an equation of the following form:

(x + x + 8) * 2 = 46;

2 * x + 8 = 46: 2;

2 * x + 8 = 23;

2 * x = 23 – 8;

2 * x = 15;

x = 15: 2;

x = 7.5.

7.5 cm is the value of the width of the rectangle given to us;

7.5 + 8 = 15.5 cm – this is the value of the length of the rectangle given to us;

Let’s find the value of the area of ​​this rectangle, for this we need to multiply the value of the width of this rectangle by the value of the length of this rectangle:

7.5 * 15.5 = 116.25 cm2 – this is the value of the area of ​​the rectangle given to us.

Answer: 116.25 cm2 is the value of the area of ​​the rectangle given to us.