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Yakvenalex [24]
3 years ago
12

10 POINST!!! What is the area of quadrilateral QRST if QS=18 and RT=24? Show your work.

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

area= 1/2 × d1 ×d2

d = diagonal

area= 1/2 ×24×18 =216 unit^2

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Number 1 so I can make sure I'm right
SSSSS [86.1K]

Answer:

  228.36 ft^2

Step-by-step explanation:

1. The total surface area is the area of two trapezoids and 4 rectangles. The rectangles all have the same width, so we can figure their area by finding their total length: the perimeter of the trapezoid.

<u>rectangle area</u>

The perimeter of the isosceles trapezoid is the sum of its edge lengths:

  P = 13 +8.06 +5 +8.06 = 34.12

The rectangles are 3 ft wide, so their total area is ...

  A = LW = (34.12 ft)(3 ft) = 102.36 ft^2

__

<u>trapezoid area</u>

The area of a trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(13 ft +5 ft)(7 ft) = 63 ft^2

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<u>total area</u>

As we said, the total area is the sum of the rectangle area and that of two trapezoids:

  total area = rectangle area + 2 × trapezoid area

  A = 102.36 ft^2 + 2 × 63 ft^2

  A = 228.36 ft^2

The area of the trapezoidal prism in figure 1 is 228.36 square feet.

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Step-by-step explanation:

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