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Alekssandra [29.7K]
3 years ago
7

HELPPP PLEASE 20 POINTS What is the surface area of this design?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Answer:

The surface area of given design is 197 in².

Step-by-step explanation:

All the phases expect the side phases are rectangles.

The area of rectangle = Length × Breadth.

Top phase area = 5 × 5=25 in.

Bottom phase area = 9 × 5=45in.

Left Phase area = 5 × 5 =25in.

Right Phase area = 6.4 × 5=32in.

Side phases are of equal area and of the shape quadrilateral.

Area of quadrilateral given = Area of rectangle + Area of triangle

= 5 × 5  + (1/2) × 4 × 5

= 35 in.

Total Surface area = Top phase area + Bottom phase area + Left Phase area + Right Phase area + 2×( Side Phase Area)

                               = 25+45+25+32+(2×35)

                               = 197 in².

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