[tex]\large\bf{\underline{Answer:}}[/tex]
[tex]\large\bf{ = 3000 \:ft^2}[/tex]
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[tex]\large\bf{\underline{Given:}}[/tex]
- A 3 dimensional figure with 5 sides
- it has 3 rectangles with dimensions 28 ft and 25 ft
- And 2 triangles with base =30 ft and height = 20 ft
[tex]\large\bf{\underline{To\: find:}}[/tex]
- Total surface area of figure
[tex]\large\bf{\underline{Therefore:}}[/tex]
[tex]\bf{area \:of\: figure} [/tex]
ㅤ[tex]{\bf = area \:of \:3\: rectangles + 2 \: triangles}[/tex]
[tex]\large\bf{\underline{Formulas:}}[/tex]
[tex]\boxed{\bf\pink{area\:of\: triangle= \frac{1}{2}\times base\times height}}[/tex]
[tex]\boxed{\bf\pink{area\:of\: rectangle=length\times breadth}}[/tex]
[tex]\large\bf{= 3\times (28 \times 25 )+ 2(\frac{1}{2} \times 30 \times 20)}[/tex]
[tex]\large\bf{= 3 \times 800 + 2 \times 300}[/tex]
[tex]\large\bf{=2400+ 600}[/tex]
[tex]\large\bf{= 3000}[/tex]
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[tex]\large\bf{\underline{Hence,}}[/tex]
❒ Area of given figure
[tex]\huge\mathfrak{= 3000\: ft^2}[/tex]
