Question

A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame? 5.5 + 106 square inches 5.5 + 116 square inches 5.5 + 153 square inches 5.5 + 162 square inches

Answer 1

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"