Question

area of composite figures - set 2
find the area of the composite figure.
c
area of composite figures - set 2
find the area of the composite figure.
e
area of composite figures - set 2
find the area of the composite figure.
d
area of composite figures - set 2
find the area of the composite figure.
f

Explanation:

Step1: Analyze figure C

Break figure C into two rectangles. One rectangle has dimensions \(24\times9\) and the other has dimensions \((24 - 5 - 5)\times11=14\times11\).

Step2: Calculate areas of rectangles in C

Area of first rectangle \(A_1 = 24\times9=216\). Area of second rectangle \(A_2=14\times11 = 154\). Total area \(A_C=A_1 + A_2=216+154 = 370\).

Step3: Analyze figure E

Break figure E into two rectangles. One rectangle has dimensions \(21\times16\) and the other has dimensions \(2\times3\).

Step4: Calculate areas of rectangles in E

Area of first rectangle \(A_3=21\times16 = 336\). Area of second rectangle \(A_4=2\times3=6\). Total area \(A_E=A_3+A_4=336 + 6=342\).

Step5: Analyze figure D

Break figure D into two rectangles. One rectangle has dimensions \(25\times10\) and the other has dimensions \((25 - 10)\times(18 - 10)=15\times8\).

Step6: Calculate areas of rectangles in D

Area of first rectangle \(A_5=25\times10 = 250\). Area of second rectangle \(A_6=15\times8=120\). Total area \(A_D=A_5+A_6=250+120 = 370\).

Step7: Analyze figure F

Break figure F into two rectangles. One rectangle has dimensions \(19\times10\) and the other has dimensions \((19 - 12)\times(15 - 10)=7\times5\).

Step8: Calculate areas of rectangles in F

Area of first rectangle \(A_7=19\times10=190\). Area of second rectangle \(A_8=7\times5 = 35\). Total area \(A_F=A_7+A_8=190+35=225\).

Answer:

C: 370
E: 342
D: 370
F: 225