Question

\A carpenter is making a wooden window frame that has a width of 1 inch.

Answer 1

The area of wood needed for the frame is 5. 5 + 106 square inches. Option A

How to determine the area

The amount of wood needed for the window frame will be equal to area of window frame.

It is important to note that the upper part of window is semicircle

Area of the upper part = π $\frac{R^2 - r^2}{2}$

where,

R = Outer radius,

r = Inner radius.

Area of upper part = π ×  $\frac{6^2 - 5^2}{2}$

Area of upper part = 11π/2

Area of upper part = 5. 5π

To find the area of the lower part, it is important to note that the area of lower part of frame will be area of 3 different rectangles. Two are the same rectangles with length 48 inches and width 1 inch and one rectangle with length 10 inches (12-2) and width 1 inch.

Area of lower part = 2 × 48 × 1 + 10 × 1

Area of lower part = 96 + 10

Area of lower part  = 106 inches

Thus, the area of wood needed for the frame is 5. 5 + 106 square inches. Option A

Learn more about area of a rectangle here:

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