Respuesta :

WindyMint

Additional requirements in figure :-

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°

}

✿Now let the left angle be x

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

we know :

Area of rectangle = Length × Breadth

STEPS :

  • Area of rectangle = Length × Breadth

  • Area of rectangle = 7 × 8

  • Area of rectangle = 56 in²

Now let's find EF :

  • EF = BD - EC

  • EF = 7 - 4

  • EF = 3 in

To find A

F :

  • A•F = AB - CD

  • A•F = 12 - 8

  • A•F = 4 in

In triangle AFE:

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

We know :

Area of triangle =( Height × Base)/2

Steps :

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

To find area of figure :

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

______________________

~WindyMint

Ver imagen WindyMint
BasketballEinstein

Answer:

[tex]\displaystyle 62\:in.^2[/tex]

Step-by-step explanation:

▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]

▯ [tex]\displaystyle hb = A[/tex]

All edges meet at right angles, therefore resulting in this:

[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]

I am joyous to assist you at any time.

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