Question

Carissa is building a new dining room table. The center of it is a rectangular section made from polished
rocks. The section measures 36 inches by 64 inches. She will place a wooden, eight-inch rectangular lip all
the way around the perimeter. What is the area of the wooden part?

Answer 1

The area of the wooden part is 1,856 sq. in.

The diagram attached below shows the following given information of the table:

• Dimensions of the center of the rectangular section of the table measuring 36 in. by 64 in.

• Area to be covered by the eight-inch wooden part

To find the area of the wooden part, find the area of the outer and inner rectangles in the image. The difference in their area will give us the area of the wooden part.

Let's solve as follows:

• Area of the outer rectangle:

$Area = l \times w$

$l = 80 in.\\w = 52 in.$

Plug in the values

Area of the outer rectangle = $80 \times 52 = 4,160 in.^2$

• Area of the inner rectangle:

$Area = l \times w$

$l = 64 in.\\w = 36 in.$

Plug in the values

Area of the outer rectangle = $64 \times 36 = 2,304 in.^2$

• Find the area of the wooden part:

Area of wooden part = Area of outer rectangle - area of inner rectangle

$= 4,160 - 2,304$

$= 1,856$

Therefore the area of the wooden part = 1,856 sq. in.

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