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p = ____ a = ____ p = ____ a = ____ 2.) p = ____ a = ____ p = ____ a = …

Question

p = __ a = p = a = __
2.)
p = __ a = p = a = __

Explanation:

Step1: Find perimeter for first shape

Perimeter is sum of all sides. For first shape with sides 16, 9, 20, 9 - 4 = 5, 4, 20 - 16 = 4. So $P=16 + 9+20 + 5+4 + 4=58$.

Step2: Find area for first shape

Split into two rectangles. One with area $16\times9$ and other with area $4\times(20 - 16)=16$. So $A = 16\times9+4\times4=144 + 16=160$.

Step3: Find perimeter for second shape

Sides are 25, 8, 25 - 5 = 20, 5, 3, 8 - 3 = 5. So $P=25+8 + 20+5+3+5=66$.

Step4: Find area for second shape

Split into two rectangles. One with area $25\times8$ and other with area $5\times3$. So $A=25\times8 - 5\times3=200 - 15=185$.

Step5: Find perimeter for third shape

Sides are 17, 18, 20, 18 - 9 = 9, 3, 17 - 3 = 14. So $P=17+18+20+9+3+14=81$.

Step6: Find area for third shape

Split into two rectangles. One with area $17\times18$ and other with area $3\times(20 - 17)=9$. So $A=17\times18-3\times3=306 - 9=297$.

Step7: Find perimeter for fourth shape

Sides are 30, 10, 30 - 21 = 9, 21, 7, 28 - 10 = 18. So $P=30+10+9+21+7+18=95$.

Step8: Find area for fourth shape

Split into two rectangles. One with area $30\times10$ and other with area $21\times7$. So $A=30\times10+21\times7=300+147=447$.

Answer:

For first shape: $P = 58$, $A = 160$
For second shape: $P = 66$, $A = 185$
For third shape: $P = 81$, $A = 297$
For fourth shape: $P = 95$, $A = 447$