The rectangle is 6 cm wide and 75% longer than wide. Find the area of the rectangle.

1. The area of a rectangle is equal to the product of length and width.

The width is known, it is 6 cm.

The length is unknown, but we know that it is 75% more than the width, which means that the length is equal to the width + 75% of the width.

2. Find 75 percent of the width:

x = 6 * 0.75 = 4.5 cm – this is 75% of the width.

3. To find the length, you need to add the found number (75%) to the width:

Length = 6 + 4.5 = 10.5 cm.

Let’s go back to step 1:

The width is known, it is 6 cm.

The length is known, it is 10.5 cm.

Area = 4.5 * 10.5 = 47.25 cm.

Answer: the area of the rectangle is 47.25 cm ^ 2.