Gavin goes to the market and buys one rectangle shaped board. The length is 16cm & width is 10cm. If he wants to add a 2cm border, what is the area.

16 + 4 = 20

10 + 4 = 14

Area = length times width

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To find the area of the rectangle with the border, we need to calculate the area of the rectangle itself and then add the area of the border.

1. Calculate the area of the rectangle:
The formula for the area of a rectangle is length multiplied by width.
Given that the length is 16cm and the width is 10cm, we can calculate the area:
Area of the rectangle = length x width
= 16cm x 10cm
= 160cm²

2. Calculate the area of the border:
The border is a rectangular strip around the original rectangle, and its dimensions are equal to 2cm. So, we will need to add an extra 2cm on each side of the length and width of the rectangle.
The new length of the rectangle with the border will be 16cm + 2cm + 2cm = 20cm.
The new width of the rectangle with the border will be 10cm + 2cm + 2cm = 14cm.

Now we can calculate the area of the border:
Area of the border = (new length - original length) x (new width - original width)
= (20cm - 16cm) x (14cm - 10cm)
= 4cm x 4cm
= 16cm²

3. Calculate the area of the rectangle with the border:
To find the total area, we need to add the area of the rectangle and the area of the border:
Total area = Area of the rectangle + Area of the border
= 160cm² + 16cm²
= 176cm²

Therefore, the area of the rectangle with the 2cm border is 176cm².

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