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Sagot :
Total surface area -
- 2(1/2 × 20 × 21) + (29 × 22) + (21 × 22) + (20 × 22)
- 420 + 638 + 462 + 440
- 1960 cm²
Answer:
[tex]\huge\boxed{SA=1960cm^2}[/tex]
Step-by-step explanation:
We have:
- 2 rectangular triangles with legs 20cm and 21cm
- 3 different rectangles 20cm × 22cm, 21cm × 22cm and 29cm × 22cm
The formula of an area of
- a rectangular triangle:
[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]
a, b - legs
- a rectangle a × b:
[tex]A_{\square}=a\cdot b[/tex]
Calculate:
Rectangular triangle
[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]
Rectangles:
[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]
Total surface:
[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]
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