The sum of the length and width of the rectangle is 14cm. the length is 4 cm more than the width

The sum of the length and width of the rectangle is 14cm. the length is 4 cm more than the width, which is equal to the area of the rectangle.

1) Find the length and width of the rectangle.

Let the width of the rectangle be x cm, then the length of the rectangle is (x + 4) cm.By the problem statement, it is known that the sum of the length and width of the rectangle is (x + (x + 4)) cm or 14 cm.Let’s make an equation and solve it.

x + (x + 4) = 14;

x + x + 4 = 14;

2x + 4 = 14;

2x = 14 – 4;

2x = 10;

x = 10: 2;

x = 5 (cm) – width;

x + 4 = 5 + 4 = 9 (cm) – length.

2) Find the area of the rectangle.

The area of a rectangle is equal to the product of length and width. S = ab.

S = 5 * 9 = 45 (cm ^ 2).

Answer. 45 cm ^ 2.