Question

A)The figure above shows Andrew’s plan for a deck. Draw dotted lines to decompose the shape into triangles and rectangles. Label the lengths of the sides of each figure needed to find the area.
B)It costs $6 per square foot for the lumber to build the deck. What is the total cost? SHOW YOUR WORK!!!

Answer 1

Lets first divide the deck into shapes, in this case, we will have three.

The first shape, will be the rectangle that represents the lower portion of the deck. Its' dimensions  are 12ft x 33ft. 396 Square ft.

Next lets do the upper rectangular section. It has the dimensions of (22ft-12ft)*24ft. 240 Square ft.

Third, we have the last remaining shape, the right triangle. Its' dimensions are 1/2(22ft - 12ft)*(33ft - 24ft). 45 Square ft.

Finally! We can now add the three areas together to get the full figure.

396 Square ft + 240 Square ft + 45 Square ft = 681 Square ft!