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Formulas
Parallelogram
Triangles
Trapezoid
Kite
100
A=bh
What is the area formula for parallelograms?
100
A=bh A=(10)(8) A=18in²
A parallelogram with a 10 inches base and 8 inches height.
100
A=1/2bh A=1/2(6)(4) A=12 in²
A triangle with a 6 meters base and a 4 inches height. Find the area.
100
A=1/2(b1+b2)h A=1/2(30+20)(10) A=250 cm²
A trapezoid with b1 as 30 cm, b2 as 20 cm, and the height as 10 cm. Find the area.
100
A=1/2d1d2 A=1/2(20)(100) A= 1000 cm²
A kite with d1 as 20 cm and d2 as 100 cm. Find the area.
200
A=1/2(b1+b2)h
What is the area formula of trapezoids?
200
A=bh A=(360)(180) A=64800in²
A shoe box with a 360 inches base and a 180 inches height.
200
A=1/2bh A=1/2(169)(84.5) A=7140.25m²
A triangle with a 169 meters base and a 84.5 meters height. Find the area.
200
A=1/2(b1+b2)h A=1/2(450+230)(100) A= 34000cm²
A trapezoid with b1 as 450 cm, b2 as 230 cm, and the height as 100 cm. Find the area.
200
A=1/2d1d2 A=1/2(285)(570) A= 81225 cm²
A kite with d1 as 285 m and d2 as 570 m. Find the area.
300
Both have the same formula, A= 1/2d1d2
What are the area formulas for rhombuses and kites?
300
A=bh 800=10h 80 cm =h
A parallelogram with an area of 800 cm² and a base of 10 cm. Find the height.
300
A=1/2bh 24=1/2(4)(h) 12 in=h
A triangle with an area of 24 in² and a base of 4 in. Find the height.
300
A=1/2(b1+b2) 200=1/2(20+40)h 6.7 in =h
A trapezoid with an area of 200 in², b1 as 20 in, and b2 as 40 in. Find the height.
300
A=1/2d1d2 500=1/2(25)d2 40 in =d2
A kite with an area of 500 in² and d1 as 25 in. Find d2.
400
Pythagorean Theorem, c²=a²+b²
What is the formula for finding edges on triangles with two measurements already given?
400
P= 2(a+b) P= 2(75+40) P= 230 m A=bh A=75(40) A= 3000 m²
A parallelogram with the base as 75 m and the height as 40 m. Find the perimeter and the area.
400
P= a+b+c P= 20+45+50 P= 115 cm A=1/2bh A=1/2(20)(45) A= 450 cm²
A triangle with 20 cm as the base, 45 cm as the height, and 50 cm as the hypotenuse. Find the perimeter and the area.
400
P=a+b+c+d P=10+20+30+40 P=100 cm A=1/2(b1+b2)h A=1/2(10+20)(30) A= 450 cm²
A trapezoid with b1 as 10 cm, b2 as 20 cm, the height as 30 cm, and the hypotenuse as 40 cm. Find the area and the perimeter.
400
P= 2(a+b) P= 2(5+10) P= 30 m A= 1/2d1d2 A= 1/2(20)(40) A= 400 m²
A kite with sides of 5 m and 10 m. d1 as 20 and d2 as 40. Find the perimeter and the area.
500
A=√3/4a²
What is the area formula for equilateral triangles?
500
c²=a²+b² 15²=5²+b² 200=b² √200=b 14.1in=b
A slanted parallelogram with the height outside of the figure, has 15 cm for the hypotenuse and 5 cm for the base. Find the height.
500
c²=a²+b² 100²=25²+b² 19.4=b
A triangle with a base of 25 and a hypotenuse of 100. Find the height.
500
c²=a²+b² 60²=(30+40)²+b² 36.1=b
A trapezoid with b1 as 30 in, b2 as 40 in, and the hypotenuse as 60 in. Find the height.
500
c²=a²+b² 30²=10²+b² 28.3 in=b
A kite with a given d1. Half of d2 is not given. The other half of d2 is 10 in. The hypotenuse of d2 is 30 in. Find the other haf of d2.