# 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

## This Post Has 10 Comments

1. cocoj3205 says:

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

2. kekeb32 says:

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

$2\times Length\times breadth\\\\=2\times 4\times 5\\\\=40\ sq.\ units$

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

Area of middle rectangle is given by

$Length\times breadth\\\\=4\times 6\\\\=24\ sq.\ units$

Dimensions of triangle are as follows:

Height = 4 units and base = 6 units.

So, Area of 2 triangles would be

$2\times \dfrac{1}{2}\times 6\times 4\\\\=24\ sq.\ units$

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. shantejahtierr63961 says:

(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:

$A=Base{\times}height$

Substituting the given values, we have

$A=4{\times}6$

$A=24 sq units$

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:

$Area=\frac{1}{2}(area of rectangle)$

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. Geo777 says:

he is correct

Step-by-step explanation:

5. marlea says:

C. perimeter = 36 square units: area = 80 square units

6. kingoc321 says:

(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 🙂

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

7. jayzelgaspar8005 says:

33 square units

Step-by-step explanation:

8. dwilburn01 says:

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

Step-by-step explanation:

$Area_{Parallelogram}=width*length\\A=6*4\\A=24 u^{2}$

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.

$\bigtriangleup ABC=\frac{b*h}{2}\\ \bigtriangleup ABC=\frac{2*3}{2}=3$

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

9. Jasten says:

Its 14

10. terryonsavage543 says:

328 and the last one is 260

Step-by-step explanation:

i just did the question :p