Answer:
<em>The shaded region has an area of 1400 square units</em>
Step-by-step explanation:
<u>Area of Compound Shapes</u>
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
L=1.5w
P=l+w
40=2.5 w
W=16
L=1.5(16) =24
Length is 24
Width is 16
Answer:

Step-by-step explanation:
Let's follow up with the solution. Considering a triangle with the vertices
,
and
, have a look at the representation in the cartesian plan.
From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

So, applying this knowledge we're going to have,

![\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]](https://tex.z-dn.net/?f=%20%5Cmathsf%7BA%7D%20%5Ctriangle%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%20%20%5Cleft.%5Cbegin%7Barray%7D%7Bccc%7D%20%20%203%20%26%20-7%20%26%201%20%5C%5C%206%20%26%20%204%20%26%201%20%5C%5C%20-2%26%20%20-3%20%26%201%20%5Cend%7Barray%7D%20%20%5Cright%7C%20%5Cbegin%7Barray%7D%7Bcc%7D%203%20%26%20-7%20%5C%5C%206%20%26%204%20%5C%5C%20-2%20%26%20-3%20%5Cend%7Barray%7D%20%5Cright%5D%20)


Hope you enjoy it, see ya!)
Mozambique, Maputo – Matola City – T-3
DavidJunior17
Answer: hey sup fellow player
Step-by-step explanation: how’s life eh?
Answer:
AB = 4
Step-by-step explanation:
Since the line is horizontal then its length is the difference of the x- coordinates, that is
AB = | 8 - 4 | = 4 , or
AB = | 4 - 8 | = | - 4 | = 4