The coordinate plane is missing, so i have attached it.
Answer:
Perimeter of room = 140 ft
Area of room = 1200 sq.ft
Step-by-step explanation:
From the cordinate plane attached, we can see the polygon QRST which represents the floor plan of the roo.
Thus;
The length of the sides of the room are;
ST = RQ = 30
QT = RS = 40
Perimeter of a rectangle is the sum of all sides of the rectangle.
Thus, perimeter of the room = (30 × 2) + (40 × 2) = 140 ft
Now, area of a rectangle is the product of two perpendicular sides.
Thus area of room = 40 x 30 = 1200 sq.ft
Answer:
The first term is:
Step-by-step explanation:
The arithmetic sequence is defined by

where
is the first term
is the common difference
as
the 17th term of an arithmetic sequence is 51.
i.e. 
so

∵
,
, 
∵ 

Therefore, the first term is:
Answer:
(-8, 8) and (2, 2)
Step-by-step explanation:
First, you would start with finding the center of the trapezoid. You would multiply 1.6 by 2.4, leaving you with 3.84 sq ft for the center. Then, you subtract 1.6 from 3.2 because you want to find the area of the triangles. You would get 1.6. That means there is a triangle with a base of 1.6 feet and a height of 2.4 feet. The formula for calculating the area of a triangle is base times height divided by 2, and in this case it is 1.6 times 2.4 divided by 2. You would get 1.92, and to find the total amount of ft sq, you would add 1.92 and 3.84 to get 5.76 feet squared(don't forget to label!).