TEAS Tutoring: Geometry

What is the formula to find the Area of a rectangle?

LxW

What is the formula to find the Perimeter of a rectangle?

Simple rectangle: L+W+L+W

Irregular rectangle: Add each side together

What is the area of a rectangle with a width of 5 and a length of 10?

What is the perimeter?

A= 10×5= 50 units squared

P= 10+5+10+5=30 30 units

What is the area of a rectangle with a width of 5 and a length of 6?

What is the perimeter?

A= 6×5=30 units squared

P= 5+6+5+6=22 units

What is the area of a rectangle with a width of 2 and a length of 6?

What is the perimeter?

A=6×2=12 units squared

P= 6+2+6+2=16 units

What is the area of a rectangle with a width of 2 and a length of 16?

What is the perimeter?

A= 16×2=32 units squared

P= 16+2+16+2=36 units

What is the area of a rectangle with a width of 2 and a length of 16?

What is the perimeter?

A= 3×4=12 units squared

P= 3+4+3+3= units

The area of a rectangle is 200 sq. feet. If the length of the rectangle is 20 feet, what is the width?

200/2 = 10 feet

A rectangle with the length of 10 meters has an area of 100 sq. meters. What is the width of the rectangle?

100/10 = 10 meters

The perimeter of a rectangle is 20 feet. If the length is 6 feet, what is the width?

6+6=12

20-12=8

8/2 = 4 feet

Find the area And Find the perimeter

X: 8-5=cm

P: 8+10+5+7+3+3=36 cm
A: 8×3=24, 7×5=35, 35+24= cm squared

Find the area And Find the perimeter

X: 10-6=4 cm
Y: 7-5=2 cm

P= 10+5+4+2+6+7=34 cm

A=10×5=50, 6×2=12, 50+12=62 cm squared

Find the area And Find the perimeter

X: 5+7=12mm
Y: 30-20=10mm

P=30+5+20+7+10+12=84mm

A= 7×10=70, 5×30=150, 70+150=220,m squared

Find the area And Find the perimeter

X: 4+2=6m

Y: 7+1=8m

P= 7+4+1+2+8+6=28m

A= 1×2=2, 7×6=42, 2+42=44mm squared

Find the area:

A= 5×7=35m squared

Find the area:

A=1×10=10m squared

Find the area:

A= 7×4=28, 6×15=90, 28+90=118cm squared

Pie (π)=

3.14

What is the circumference? And What is the area?

Circumference= 16π or 50.24cm (16×3.14)

Area= 16/2=8, 8×8=64…64π or 200.96cm (64×3.14)

What is the circumference of a circle whose Radius = 9m?

What is the area?

Circumference=18π or 56.52m (18×3.14)

Area= 9×9=81… 81π or 254.45 (81×3.14)

What is the circumference?And What is the area?

Circumference= 3+3=6. 6π or 18.84km

Area= 3×3=9. 9π or 28.26km (9×3.14)

What is the circumference of a circle whose Diameter = 14mm?

What is the area?

Circumference= 14π or 43.96mm (14×3.14)

Area= 14/2=7. 7×7=49… 49π or 153.86mm (49×3.14)

What is the circumference? And What is the area?

Circumference= 12π or 37.68cm (13.3.14)

Area= 12/2=6. 6×6=36… 36π or 113.04 (36×3.14)

Circumference= 10×2=20..

20π or 62.8 (20.3.14)

Circumference= 4×2=8.. 8π or 25.12 (8×3.14)

Area= 4π or 12.56

Area= 16/2=8. 8×8=64

64π or 200.96* (64×3.14)

If the width of this square is 10cm, what is the area of the shaded region in between the circle and the square?

If the problem says its a square, then it is safe to assume that all sides are equals. So for the square: W=10cm and L=10cm

Since the square has a width of 10cm, you can also say that the diameter of the circle is 10cm

Area of the square= 10×10=100cm squared

Area of the circle= 10/2=5. 5×5=25… 25π or 78.5cm

Answer: 100-78.5= 21.5cm

If the length of this square is 12cm, what is the area of the shaded region in between the circle and the square?

If the problem says its a square, then it is safe to assume that all sides are equal. So for the square: W=12cm and L=12cm

Since the square has a width of 12cm, you can also say that the diameter of the circle is 12cm

Area of the square= 12×12=144cm squared

Area of the circle= 12/2=6. 6×6=36.. 36π or 113.04cm

Answer: 144-113.04=30.96cm