The rectangle is 54 cm long. Its length is 5 cm longer than its width. Find the area of the rectangle.

Suppose one of the sides of the rectangle is a cm.

Since the second is 5 cm larger, it will be equal to: a + 5 cm.

Divide the perimeter of the rectangle by 2.

In this case, we get the sum of the length and width.

54/2 = 27 cm.

The result will be:

a + a + 5 = 27.

2 * a = 27 – 5.

2 * a = 22.

a = 22/2 = 11 cm (rectangle width).

a + 5 = 11 + 5 = 16 cm (rectangle length).

Determine the area of the figure.

We multiply its length by width.

11 * 16 = 176 cm2

Answer: The area of the rectangle is 176 cm2 (square centimeters).



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