Area of Rectangles
Area of Triangles
Area of Parallelograms
Questions about Shapes
Composite Figures
100

The area of a square with a side of 4 cm.

A = 16 cm2


A = bh

A = 4 x 4 = 16cm2


100

The area of a triangle with a base of 8 inches and a height of 10 inches.

A = 40 in2


A = (bh) / 2

A = (8 x 10)/2

A= 40 in2

100

The area of a parallelogram with a base of 3 meters and a height of 12 meters.

A = 36 m2

A = bh

A = 3 x 12

A = 36 meters2

100

Is this a parallelogram?  Why or why not?

No, it is not a parallelogram.

It does have 4 sides, but a parallelogram must also have Opposite Sides Parallel.  The left and right sides would eventually touch (not parallel)

100

Find the area of

129 in2:

blue rectangle is 15 x 9 =135

white rectangle is 3 x 2 = 6

the HOLE is REMOVED so subtract

135 - 6 = 129 in2


200

The area of the rectangle.

A = 176 cm2


A = bh

A = 22 x 8 = 176cm2

200

The area of a triangle with a base of 1 cm and a height of 1 cm.

A = 0.5 cm2


A = (bh) / 2

A = (1 x 1)/2

A= 0.5 cm2


200

The area of this parallelogram.

A = 468 in2

A = bh

A = 26 x 18

A = 468 in2

200

 Is a rectangle a parallelogram?

Yes, it is.

It has 4 sides.

Opposite sides are Parallel.

Opposite sides are Equal in Length.

200

38 square units:

Decompose into a blue rectangle and blue triangle:

blue rectangle 8 (b) x 4(h) = 32 u2

blue triangle 8 (b) x 3 (h) / 2 = 12 u2

total blue:  32 + 12 = 44 u2

white hole:   2 (b) x 3 (h) = 6

Remove the Hole:   44 - 6 = 38 u2

300

The area of a rectangle is 26 cm2. The height is 2 cm.  What is the base?

b = 13 cm


A = bh

26 = b x 2

26 = 13 x 2 so       13cm = base

300

The area of the triangle.

A = 56 in2


A = (bh) / 2

A = (14 x 8)/2

A= 56 in2


300

The area of this parallelogram.

A = 322 ft2

A = bh

A = 14 x 23

A = 322 ft2

300

Is this shape a parallelogram?

Why or why not?

No, it is not a parallelogram.

It does  not have "4" sides AND opposite sides are NOT parallel!

300

Find the Area of the figure below.

48 square units

Decompose into a rectangle and triangle (at the top)


Rectangle:  8(b) x 5(h) = 40 u2

Triangle:  8(b) x 2(h) /2 = 8 s
*****The height of the triangle is 2 because 7 was the total from bottom to top, but the height of the rectangle was 5 so 7 - 5 = 2 for the height of triangle.

40 + 8 = 48 u2

400

The area of a rectangle with a width of 3.4 m and a length of 15 m.

A = 51 cm2


A = l x w

A = 15 x 3.4 = 51cm2

400

The area of a triangle with a base of 12.5 cm and a height of 14.75 cm rounded to the nearest TENTHS place.

A = 92.2 cm2


A = (bh) / 2

A = (12.5 x 14.75)/2

A = 92.2 cm2


92.1875    the 1 is in the tenths place and the 8 is the BIG Boss so the 1 Bumps up to 2

400

The area of a parallelogram with a height of 5 meters and a base that is 62 meters long.

A = 310 meters2


A = bh

A = 62 x 5

A = 310 meters2

400

The BASE is already labeled.  Which Line is the HEIGHT?

How do you know?

D is the correct height.

First, it is dotted like most heights will be.

Second, and most importantly, D is PERPENDICULAR to the base and it extends from the BASE to the opposite side.

400

The area of the composite figure.

A = 412.5 in2

Square:  15 x 15 = 225 in2

Top Triangle:  15(b) x 7(h) / 2 = 52.5 in2

Big Triangle:  18 (b) x 15 (h) /2 = 135 in2

TOTAL:  225 + 52.5 + 135 =  412.5 in2


500

The area of a rectangle is 497.94 mm2

It has a length of 25.8 mm.

What is its width?

w = 19.3 mm


        A = L x W

497.94 = 25.8 x ? = 497.94/ 25.8 = 19.3 mm

500

Triangle PQR is a section of a ball field. Find the area.

A = 156 ft2


A = (bh) / 2

A = (26 x 12)/2

A = 156 ft2

500

The area of parallelogram EFGH is 207 square inches. It's height is 9 inches. Find the base GH. 

23 inches = b


A = bh

207 = b x 9

207/9=b

23 inches = b

500

CHALLENGE:  Find the AREA of this shape (BLUE PART).

THINK:  DECOMPOSE and find the area of each shape.  Then COMBINE all of the areas!

12 square units

Square in middle:  2 x 2 = 4

Bottom triangle together with Left triangle makes another square that is 2 x 2 = 4

Top triangle together with Rigt triangle makes another square that is 2 x 2 = 4

4+4+4 = 12 square units

500

The area of the composite figure.

A = 1,344 ft2


Decompose into a rectangle and a triangle

rectangle:  40 (b) x 24 (h) = 960 ft2

Triangle:  32(b) x 24 (h) /2 = 384 ft2

960 + 384 = 1,344 ft2

****To find the base of the Triangle, you first need to write "24" in the empty section because the 2 ends of a rectangle =.  Next, take the 24 and add the two 4's.....24 + 4 + 4 =  32 for the Base of the triangle.

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