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Aleonysh [2.5K]
3 years ago
7

This trapezoid is made up of two right triangles and one rectangle.

Mathematics
1 answer:
artcher [175]3 years ago
5 0

9514 1404 393

Answer:

  • each triangle: 29.75 in²
  • rectangle: 374 in²
  • total area: 433.5 in²

Step-by-step explanation:

The base of each triangle is half the difference between the bases of the trapezoid:

  (29 in -22 in)/2 = 7 in/2 = 3.5 in

The area of the triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3.5 in)(17 in) = 29.75 in² . . . triangle area

__

The area of the central rectangle is the product of its base and height.

  A = bh = (22 in)(17 in) = 374 in² . . . rectangle area

__

The total area of the trapezoid is the sum of the areas of the two triangles and the area of the rectangle.

  total area = 2(29.75 in²) + 374 in² = 433.5 in² . . . total trapezoid area

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crimeas [40]

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

<em><u>Solution:</u></em>

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

<em><u>The area of rectangle is given by formula:</u></em>

Area\ of\ rectangle = length \times breadth

<h3><u>Find the breadth:</u></h3>

Substitute the given values in above formula:

259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14

Thus breadth is 14 cm

<h3><u>Find the perimeter:</u></h3>

The perimeter of rectangle is given by formula:

Perimeter = 2(length + breadth)

Substitute the given values in above formula:

perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65

Thus perimeter of rectangle is 65 cm

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Answer:

Step-by-step explanation:

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The answer is 2.8

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