For the rectangle, I composed it by dividing it into two smaller rectangles. I used the expression l x w for both smaller rectangles, one with length 8 and width 5 and the other with length 8 and width 3. So, the total area of the rectangle is (8 x 5) + (8 x 3) = 40 + 24 = 64.
For the trapezoid, I decomposed it into a rectangle and two triangles. I used the expression l x w for the rectangle (length 7, width 5) and the formula b x h x 1/2 for the triangles where the base and height were 2 and 5. So, the total area of the trapezoid is (7 x 5) + 2 x (2 x 5 x 1/2) = 35 + 10 = 45.
I used the formula l x w for squares and rectangles, the formula b x h x 1/2 for triangles, and the formula for the area of trapezoids. I composed a rectangle for the rectangle and decomposed the trapezoid into simpler shapes to calculate their areas.
Describe in words how you calculated the area of each shape. Be sure to include
which formulas you used. For which polygon(s) did you compose a rectangle to find
the area? Which polygon(s) did you decompose into simpler shapes? Which simple
shapes did you use
For the triangle I used the expression b x h x 1/2, base is 8 and height is 5 so
8 x 5 x 1/2 = 20
For the square I used the expression l x w, length is 6 and width is 5 so
6 x 5 = 30
1 answer