The area of a square with a side of 4 cm.
A = 16 cm2
A = bh
A = 4 x 4 = 16cm2
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
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
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)
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
The area of the rectangle.
A = 176 cm2
A = bh
A = 22 x 8 = 176cm2
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
The area of this parallelogram.
A = 468 in2
A = bh
A = 26 x 18
A = 468 in2
Is a rectangle a parallelogram?
Yes, it is.
It has 4 sides.
Opposite sides are Parallel.
Opposite sides are Equal in Length.
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
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
The area of the triangle.
A = 56 in2
A = (bh) / 2
A = (14 x 8)/2
A= 56 in2
The area of this parallelogram.
A = 322 ft2
A = bh
A = 14 x 23
A = 322 ft2
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!
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
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
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
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
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.
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
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
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
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
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
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.