Formulas & Vocab
What is the formula for the area of a square, rectangle, or parallelogram?
base x height OR length x width
What is the area of a triangle with base of 4 ft and a height of 3 ft?
6
Find the area of the composite figure:
https://docs.google.com/document/d/1b5fgF9JLUTMOwHLLi374MBDEmwVVZtcqE1OulUwopgg/edit?usp=sharing
The area of this composite figure is 99 meters squared because:
The left rectangle has an area of 48 (12x4)
The middle rectangle has an area of 15 (5x3)
The right rectangle has an area of 36 (12x3)
So, 48 + 15 + 36 = 99
Find the volume of the rectangular prism:
https://docs.google.com/document/d/1CZhPVjYh1JvTR9bZLY6myNS-bK9NwCdEfaFGfRec4rE/edit?usp=sharing
The volume of this rectangular prism is 2,560cm cubed because:
20 x 8 x 16 = 2560
<A, <B, and <C form a triangle. If angles A and B add up to be 110 degrees, then what is the measure of <C?
70 degrees
180 - 110 = 70
What do complementary angles add up to be?
90 degrees
What is the area of a parallelogram with a base of 8 in and a height of 13 in?
104
Find the area of the composite figure:
https://docs.google.com/document/d/1XlRJtvyhPQcmTMKu02p7b7se4vXoUQBDLUEjFloVE5s/edit?usp=sharing
The area of this composite figure is 51.5 feet squared because:
the area of the rectangle is 44 (8 + 3)x 4
the area of the smaller triangles is 3 (3x2 all divided by 2)
the area of the bigger triangle is 4.5 (3x3 all divided by 2)
So, 44 + 3 + 4.5 = 51.5
Find the volume of the rectangular prism:
https://docs.google.com/document/d/12j35Z1hxTSs0--CeuXY7VAh0nCZn8zbc2oKgbF3To3o/edit?usp=sharing
The volume of the rectangular prism is 1248.75cm cubed because
18.5 x 13.5 x 5 = 1248.75
Could 2, 9, and 12 be the 3 lengths of the sides of a triangle? Why or why not?
No because 2 + 9 = 11 and and 11 < 12.
What do supplementary angles add up to be?
180 degrees
What is the area of a trapezoid with the following dimensions:
base 1: 5 ft.
base 2: 9 ft.
height: 4 feet
28
Find the area of the composite figure:
https://docs.google.com/document/d/1_Wrdn6NsmQSPSChgvzqBZkrYI6QwclJCZPMNGcQFKKg/edit?usp=sharing
The area of this composite figure is 56 units squared because:
The area of the rectangle on the left is 24 (6x4=24)
The area of the rectangle in the center is 8 (2x4=8)
The area of the rectangle on the right is 24 (6x4=24)
So, 24 + 24 + 8 = 56
What is the measure of the missing dimension of this rectangular prism if we know the volume is 54in cubed?
https://docs.google.com/document/d/1xIPX_oaMuKIt0RQIWPbLRR7VzBAyTWZRzZBpJv_TnuA/edit?usp=sharing
The missing dimension is 9 inches because:
3 * 2 * b = 54
6b = 54
divide by 6 on both sides
b = 9
<G and <K are vertical angles. <G is 50 degrees, what is the measure of <K?
50 degrees
Vertical angles are congruent.
What is the formula for the area of a triangle?
(base x height) divided by 2 OR 1/2 x base x height
The area of a given trapezoid is 50 meters squared.
Base 1 is 8 meters.
Base 2 is 12 meters.
What is the height?
The height is 5 meters because:
area = (base 1 + base 2)h all divided by 2
so plug in what you know, then solve for h!
50 = (8 + 12)h all divided by 2
50 = 20h/2
multiply by 2 on both sides
100=20h
divide by 20 on both sides
5 = h
Find the area of the composite figure:
https://docs.google.com/document/d/1grFTkBdFcgXhiVLxgIMerce4eHcEGa9P8op1mFcada4/edit?usp=sharing
The area of this composite figure is 50 centimeters squared because:
the area of the rectangle is 30 (6x5)
the area of the triangle is 20 (8x5 all divided by 2)
So, 30 + 20 = 50
What is the measure of the missing dimension of this rectangular prism if we know the volume is 156cm cubed?
https://docs.google.com/document/d/1hAoTALj_phcvWlcYsgkKPInVcfTPH4Ekv53j-tWGBKo/edit?usp=sharing
The missing dimension is 6.5cm because:
8 * 3 * b = 156
24b = 156
divide by 24 on both sides
b = 6.5
https://docs.google.com/document/d/1fgXJ8-OZ59Fx2Emn4UyCDE4PG_rnBo8MOHKDCT5xHWI/edit?usp=sharing
Which side is the longest side? AB, BC, or AC?
AC because it is directly across from the largest angle (angle B which is 75 degrees)
What is the formula for the area of a trapezoid?
(base 1 + base 2) times height, then all of that divided by 2
OR
1/2 x (base 1 + base 2) x height
The area of a given trapezoid is 154 meters squared.
Base 1 is 5 meters.
Base 2 is 17 meters.
What is the height?
The height is 14 meters because:
area = (base 1 + base 2)h all divided by 2
so plug in what you know, then solve for h!
154 = (5 + 17)h all divided by 2
154 = 22h/2
multiply by 2 on both sides
308=22h
divide by 22 on both sides
14 = h
https://docs.google.com/document/d/1WQQ6wT2FMSl9u5_LjJb6-04dmEemxqRCsTaavWnDewQ/edit?usp=sharing
Which angle is the smallest?
Angle P because it is directly across from the shortest side (side QR which is 8)