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amid [387]
2 years ago
15

6.

Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

  1400 square units

Step-by-step explanation:

The area can be computed by subtracting the areas of the white rectangles at three corners from the overall 60×30 rectangle.

The upper left corner white space is 10×10 = 100 square units.

The upper right and lower left white spaces are 15×10 = 150 square units each.

Then the shaded area is ...

  60×30 -100 -2(150) = 1800 -100 -300 = 1400 . . . square units

_____

<em>Alternate solution</em>

You can extend each of the horizontal edges across the figure to divide it into three rectangles. From the top down, these have dimensions and areas of ...

  35×10 +60×10 +45×10 = 10(35+60+45) = 10(140) = 1400 . . . square units

__

Area of a rectangle is the product of length and width.

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Step-by-step explanation:

The surface area of this prism comprises:

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  • 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
  • 1 rectangle (rectangle 3)

Area of a triangle = 1/2 × base × height

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Area of rectangle 1 / 2 = width × length

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Area of rectangle 3 = width × length

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Total Surface Area = 2 triangles + 2 rectangles + rectangle 3

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