Question

6) Find the area of each polygon

Answer 1

Let's find sides one by one

`\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=√(13)=3.2`

`\\ \tt\hookrightarrow b=√(2^2+4^2)=√(20)=4.2`

`\\ \tt\hookrightarrow x=√(1^2+4^2)=√(17)=4.1`

Now

`\\ \tt\hookrightarrow s=(4.2+4.1+3.2)/(2)=5.7`

Apply herons formula

Area

`\\ \tt\hookrightarrow √(5.7(5.7-3.2)(5.7-4.1)(5.7-4.2))=√(5.7(2.5)(1.6)(1.5))=5.84units^2`