Triangles
What is the area of a triangle with base=9ft and a height=7ft?
31.5 ft squared
How many bases does a trapezoid have?
How do you identify the bases?
1) They have two
2) The bases are parallel to one another and the height is in between them.
What is the perimeter of a new parallelogram if the old parallelogram's perimeter=12 inches and the dimensions are doubled?
24 inches
How do you know which base is base 1 and which is base 2 on a trapezoid?
What is the area of a triangle with b=12.1m and h=6.4
Round to the hundreth place
38.72 meters squared
What is the area of a trapezoid with b1=12 in b2=5 in and a h=7 in
59.5 in squared
What is the area of a new polygon, if the area of the old polygon = 16 meters squared and the dimensions are doubled?
64 squared meters
Explain how you would find the total area of a regular polygon?
You need to break the shape into smaller shapes that are parallelograms, triangles, and/or trapezoids. If you find the area of each smaller figure, you can then add them up to find the total area.
What is the base of a triangle whose A=24cm squared and a h=6cm?
b=8 cm
What is the height of a trapezoid with b1=15 ft, b2=12 ft and an area of 108 squared feet?
height = 8 ft
A triangle has a height of 4 inches and a base of 12 inches. If just the height is doubled, how much has the area increased?
It increased by 24 square inches.
What is the height of a parallelogram with a b=9 in and A=45in squared?
h=5 inches
What's the difference between area and perimeter?
The perimeter is the space around a shape (think: fence) and the area is the surface that covers the inside of the shape.
How much material is it needed to cover the front of a camping tent (triangular) with b= 5 ft and a h=3 ft
7.5 ft squared of material is needed
Tiles are being placed in front of a fireplace, to create a trapezoid shape. The height will be 24 inches, the bases are 48 and 60 inches. If the tiles cover 16 inches squared, how many tiles will be needed?
81 tiles
A parallelogram has an area of 20 inches squared. If you double the height but leave the length the same, what will happen to the area?
The area will double in size.
Give an example of a triangle and a parallelogram that have the same area.
Example: A triangle with b=8 units, and h=3 units and a parallelogram with b=3 units and h=4 units
An octagon is split into triangles. The triangle's height is 7.5 inches and it's base is 5.75 inches. What is the TOTAL are of the octagon?
About 172.48 inches squared.
How can you use triangles to find the area of a regular hexagon?
The hexagon is formed of 6 congruent triangles. If you find the area of one triangle you can find the area of the hexagon by multiplying by 6.
What are two possible lengths of the bases of a trapezoid with a height= 1 foot and an area =9 squared feet
Any two numbers whose sum would be 18
A triangle with a base of 10 inches and an area of 75 inches squared is redrawn and the height is made 2 inches LARGER. What's the new area of the triangle?
The new area = 85 inches squared
Explain how the parallelogram formula derived from the area of a rectangle's formula?
A parallelogram can be shaped into a rectangle by cutting one side down to make two right angles and a straight line. The leftover area (triangle-shaped) can be rotated and moved to the other side to make a straight line and two right angles.
The polygon consists of a triangle with a base of 4 units and a height of 8 units, and a parallelogram with the same height as the triangle and a base of 5 units. What is the total area of the regular polygon?
56 units squared