Answer: Figure A (Rectangle): 16 × 18 = [tex]288cm^{2}[/tex]
Figure B (Trapezium): = (a + b) x h/2 = (28 + 16) × 25/2 = 44 x 25/2 = 1100/2 = [tex]550cm^{2}[/tex]
Total area: 288 + 550 = [tex]838cm^{2}[/tex]
Step-by-step explanation: 1. First lets find the area of the rectangle: 16 × 18 = [tex]288cm^{2}[/tex] 2. First off we know the height of the rectangle is 18cm and the total height is 43cm, so in order to find the area of the trapezium, we need to subtract 43 & 18: 43 - 18 = 25 3. Now we have the height & length of the trapezium we can now find the area of the trapezium: a = 28. b = 16 (same as rectangle length). Height = 25. (refer to working given). 4. Area of trapezium will be [tex]550cm^{2}[/tex]. 5. Now we have found both areas we can add them to find the total area: 288 + 550 = [tex]838cm^{2}[/tex]. 6. The total area is [tex]838cm^{2}[/tex].
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Answer:
Figure A (Rectangle):
16 × 18 = [tex]288cm^{2}[/tex]
Figure B (Trapezium):
= (a + b) x h/2
= (28 + 16) × 25/2
= 44 x 25/2
= 1100/2
= [tex]550cm^{2}[/tex]
Total area:
288 + 550 = [tex]838cm^{2}[/tex]
Step-by-step explanation:
1. First lets find the area of the rectangle: 16 × 18 = [tex]288cm^{2}[/tex]
2. First off we know the height of the rectangle is 18cm and the total height is 43cm, so in order to find the area of the trapezium, we need to subtract 43 & 18: 43 - 18 = 25
3. Now we have the height & length of the trapezium we can now find the area of the trapezium: a = 28. b = 16 (same as rectangle length). Height = 25. (refer to working given).
4. Area of trapezium will be [tex]550cm^{2}[/tex].
5. Now we have found both areas we can add them to find the total area: 288 + 550 = [tex]838cm^{2}[/tex].
6. The total area is [tex]838cm^{2}[/tex].
Hope this helps!