three shapes. three areas to find. three areas to add together to find the whole area. gotcha.
Step-by-step explanation:
- smaller rectangle
- larger rectangle
- right triangle
smaller rectangle:
length is 7 cm and width is 4 cm, so the area is 28 square cm
larger rectangle:
width is 4 cm and length is 10 cm, so the area is 40 square cm
Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.
right triangle:
base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = 12 square cm
With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).
Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.
weird shape's area from adding three shapes' areas:
28 + 40 + 12
= 80 square cm (ANSWER)
