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Westkost [7]
2 years ago
11

Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.

Mathematics
1 answer:
eimsori [14]2 years ago
5 0

<u>Additional requirements in figure</u> :-

Mark point :-

  • A
  • B
  • C
  • D
  • E

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

<u>✿</u><u>Now let the left angle be </u><u>x</u>

  • 90° +90° + 90° + x = 360°
  • 180° + 90° + x = 360°
  • 270° + x = 360
  • x = 360° - 270°
  • x = 90°

<u>we know</u> :

Area of rectangle = Length × Breadth

STEPS :

  • Area of rectangle = Length × Breadth

  • Area of rectangle = 7 × 8

  • Area of rectangle = 56 in²

<u>Now let's find EF</u> :

  • EF = BD - EC

  • EF = 7 - 4

  • EF = 3 in

<u>To find A</u>

<u>F</u> :

  • A•F = AB - CD

  • A•F = 12 - 8

  • A•F = 4 in

<u>In triangle AFE</u>:

  • EF is base of triangle
  • A•F is height of triangle

We know :

<u>Area of triangle =(</u><u> </u><u>Height</u><u> </u><u>×</u><u> </u><u>Base)/2</u>

Steps :

  • Area of triangle = (Height × Base)/2
  • Area of triangle = (4 × 3)/2
  • Area of triangle = 12/2
  • Area of triangle = 6 in²

<u>To find area of figure</u> :

  • Area of figure = Area of rectangle + Area of triangle
  • Area of figure = 56 + 6
  • Area of figure = 62 in²

______________________

~WindyMint

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