Mathematics
janicespruill
25

How do I find the surface area of the figure? Thank you.

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(1) Answers
jayciejerrybob

It's the sum of areas of: two identical trapezoids     [latex]A_1=\frac{a+b}2\cdot h[/latex] a=6+8=14 in. b=6 in. h=6 in. and rectangle [latex]A_2=w\cdot l[/latex] [latex]w=2\frac12 in. \\l=6+6+6+8+10 = 36 in. [/latex] [latex]A=2A_1+A_2=2\cdot\frac{a+b}2\cdot h+w\cdot l=(a+b)\cdot h+w\cdot l\\\\A=(14+6)\cdot 6+2\frac12\cdot 36= 120+90=210in.^2=1354.836cm^2\approx1355cm^2[/latex]

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