(8x+32)/4= 2x+8
2x+8=y+7 With y being the length of a side of square b
y=2x+1
Perimeter of square b: 4(2x+1)=8x+4
Or you could just do this:
32-4(7)=4 so Perimeter of b is 8x+4
Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.
This also means that the angle P' (the one inside the quadrilateral) is equal to:

Now, if we extend the sides DP and CB we notice that the angles P' and Q
are equal
The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.
Answer:
Step-by-step explanation:
36 times 2 equals 72.
72
+36
_____
108

Since it's a Trapezoid with its non - parallel sides equal to one another,

[ By forming co - interior angle pair ]



Now, similarly,



Similarly,



Answer:
- Tamara needs to cover a total of <u>476</u> square feet.
- Tamara <u>will</u> have enough material to cover all four walls.
Step-by-step explanation:
If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...
P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet
The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...
A = PH = (39 2/3 ft)(12 ft) = 476 ft²
Tamara needs to cover a total of <u>476</u> square feet.
__
If Tamara orders 480 square feet of material, ...
Tamara <u>will</u> have enough to cover all four walls.