Formulas
Quadrilaterals
Triangles, Trapezoids, & Circles
missing dimension/shaded area
Area Application
100

Formula for the parallelogram

base times height  or A=bh

100

Find the area of a parallelogram when the... Base= 6cm Height=7cm

42 cm squared

100

Find the area of a triangle when... Base= 5cm Height=12cm

30cm2

100

When given the area and one of the dimensions, how do I find the missing dimension?

I divide the area by the given dimension.

100

You are responsible for planting four flowers per square foot of your grandmother's garden. Her garden is a parallelogram with a height of 17.4 ft and a base of 14.4 ft.

Draw a picture of the garden, and find the area.  

250.56 ft2

200

Formula for area of a triangle

1/2bh or bh/2

200

Find the area of a rectangle when the... Length= 12in. Width=9in.

What is 108in. squared

200

Find the area when then the...h=4in, b1=6 in and b2=8in

 28 inches2

200

I have a 3in x  5in rectangle.  Inside the rectangle is a square that has 2in sides.  What is the area of the large rectangle without counting the square inside it?

11 in2

3x5=15

2x2=4

15-4=11 in2

200

A hotel constructs a rectangular room that is 60 feet by 40 feet. It plans to place a rectangular pool in the room that is 15 feet by 30 feet and a circular hot tub that is 8 feet in diameter. 

Draw a picture of the room with the pool and hot tub.

Picture may vary.

300

Formula for area of a rectangle

   A= bh or length x width

300

Find the area rhombus when the... diagonal1= 14ft. diagonal2=19ft. 

What is 133 ft. squared

300

Find the area of a circle when ... Diameter = 12 in 

113.1 in2

300

area=108   and b= 8

Find the missing dimension.

h= 13 units

300

You need to put a new carpet in the classroom. The length of the rectangular room is 30 feet, and the width is 25 feet. The cost of the chosen carpet is $3.49 per square foot. 

What is the total area of the room and how much does it cost to carpet the room?

A=750 ft2

Total Cost = $2,617.50

400

Formula for trapezoid

A = (b1+b2)h/2

400

Find the area of a parallelogram when the... Base= 5in Height=7in

35 inches squared

400

Find the area trapezoid when then the... base1= 12 in, base2= 7 in, and height= 3 in 

28.5 in2

400

Square A has area of 45in2. Inside square A is a parallelogram with b=3 and h=5.  What is the area of the square A after you take out the parallelogram?

30 in2

400

While painting your bedroom, you spill a bunch of paint on your carpet and need to replace the carpet in your bedroom. Keep in mind, each of your walls is 17.5 ft long. Don't forget – your closet doesn't needs carpet. It is in the corner of your room and is 7.5 ft by 2.5 ft. 

Draw your bedroom floor and find the area. 

A=325 ft2

500

Formula for area of a circle

A= Pi x radius x 2 or pi x diameter

500

Find the area of the kite with diagonals 13 in and 25 in. 

162.5 in2

500

Find the area of triangle: b=10.1 and h= 10

50.5 units2

500

A=120 in2, b=2.5in       What is the height?

h= 48 in

500

The length of the rectangular room is 30 feet, and the width is 25 feet. The height of the room is 12 feet. A one gallon can of paint covers 450 square feet and it costs $26.96 per can. 

How many gallon cans of paint should you buy and what is the total cost to paint all the walls in the room?

A=1320 ft2

You would have to buy 3 cans of paint. 

$80.88

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