What is the area, in square units, of the polygon shown here? a figure in the shape of a block letter

What is the area, in square units, of the polygon shown here?

a figure in the shape of a block letter l with a vertical height of 7 units and a length of 5 units is shown. the length of the top of the l is 2 units and the height of the right side of the l is 1 units.

12 units2 14 units2 17 units2 19 units2

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This Post Has 10 Comments

  1. [tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=10\\ b=14\\ h=8 \end{cases}\implies A=\cfrac{8(10+14)}{2} \\\\\\ A=\cfrac{8(24)}{2}\implies A=96[/tex]

  2.  First option is correct.

    Step-by-step explanation:

    Since we have given that

    Dimensions of lower most rectangle is 4 meters long and 5 meters wide.

    So, Area of 2 lower and upper rectangle is

    [tex]2\times Length\times breadth\\\\=2\times 4\times 5\\\\=40\ sq.\ units[/tex]

    Dimensions of middle rectangle is 6 units and 4 meters long.

    Area of middle rectangle is given by

    [tex]Length\times breadth\\\\=4\times 6\\\\=24\ sq.\ units[/tex]

    Dimensions of triangle are as follows:

    Height = 4 units and base = 6 units.

    So, Area of 2 triangles would be

    [tex]2\times \dfrac{1}{2}\times 6\times 4\\\\=24\ sq.\ units[/tex]

    So, Total surface area of the triangular prism is given by

    40+24+24

    =40+48

    =84 sq. units

    Hence, First option is correct.

  3. (C) and (A)

    Step-by-step explanation:

    (A) It is given that ABCD is a parallelogram with base DC=4 units and height is 6 units, thus the area of parallelogram is given as:

    [tex]A=Base{\times}height[/tex]

    Substituting the given values, we have

    [tex]A=4{\times}6[/tex]

    [tex]A=24 sq units[/tex]

    Therefore, the area of the parallelogram is 24 square units.

    Hence, Option (C) is correct.

    (B) We are given a triangle which is inside the rectangle with sides 2 units × 3 units, therefore the area of the triangle ABC will be:

    [tex]Area=\frac{1}{2}(area of rectangle)[/tex]

    Thus, the area of triangle ABC will be one-half the area of a rectangle with sides 2 units × 3 units.

    Hence, option A is correct.

  4. (I included an image)

    Separate the L shape into two parts. One 7 x 2 rectangle, and one 1 x 5 rectangle.
    7 x 2 = 14
    5 x 1 = 5
    14+5 = 19
    The area of the shape is 19 squared units 🙂

    Hope this helps! If it does, be sure to rate, thank, and if it really helped, give brainliest! It helps me rank up. Thanks! 🙂 
    [tex]What is the area, in square units, of the polygon shown here? a figure in the shape of a block lett[/tex]

  5. 1) 24 square units 2) It is one-half the area of a rectangle with sides 2 units × 3 units.

    Step-by-step explanation:

    [tex]Area_{Parallelogram}=width*length\\A=6*4\\A=24 u^{2}[/tex]

    The area of a parallelogram is calculated by width times height, height is always a perpendicular segment.

    2)Which statement best describes the area of Triangle ABC shown below?

    Counting the squares, we can see there is a 2 squares for the base and 3 for the height.

    [tex]\bigtriangleup ABC=\frac{b*h}{2}\\ \bigtriangleup ABC=\frac{2*3}{2}=3[/tex]

    The Area of a Rectangle is 6, for S Rect. =2*3=6 One rectangle comprises two triangles.

  6. Its 14                                                                                                                                                      
                                   
                                                             

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