# The perimeter of the rectangle is 76 cm. Find its area if the width is less than the length by 4 cm.

September 12, 2021 | education

| The solution of the problem:

1. Let’s denote the width of the rectangle through x.

2. Determine the length of the rectangle.

(x + 4) cm.

3. Let’s compose and solve the equation.

(x + (x + 4)) * 2 = 76;

(x + x + 4) * 2 = 76;

x + x + 4 = 76/2;

2x + 4 = 38;

2x = 38 – 4;

2x = 34;

x = 34/2;

x = 17.

4. The width of the rectangle is x = 17 cm.

5. What is the length of the rectangle?

4 + x = 4 + 17 = 21 cm.

6. What is the area of the rectangle?

21 * 17 = 357 sq. cm.

Answer: the area of the rectangle is 357 square meters. cm.

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