Area of Shapes 1

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Pre - Algebra

Area

Area of Shapes

Area of Shapes 1

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Question 1 of 5

1. Question
Find the area of the Square
- $Area =$ $\text(Area )=$ (36) $m^{2}$ $m^2$
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Area of a Square Formula

$Area =$ $\text(Area )=$ $side$ $\text(side)$ $\times$ $times$ $side$ $\text(side)$

In a regular square, all sides are equal

Identify the known lengths

$side = 6$ $\text(side)=6$

Solve for the area using the Area of a Square formula

$Area$ $\text(Area)$ $=$ $=$ $side$ $\text(side)$ $\times$ $times$ $side$ $\text(side)$ Area of a Square formula

$=$ $=$ $6$ $6$ $\times$ $times$ $6$ $6$ Plug in the known lengths

$=$ $=$ $36$ $36$

The given measurements are in metres, so the area is measured as square metres

$Area = 36 m^{2}$ $\text(Area)=36 m^2$
Question 2 of 5

2. Question
Find the area of the Triangle
- $Area =$ $\text(Area )=$ (36) $m^{2}$ $m^2$
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Area of a Triangle Formula

$Area = \frac{1}{2} \times$ $\text(Area )=1/2 times$ $base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$

Identify the known lengths

$base = 8$ $\text(base)=8$

$height = 9$ $\text(height)=9$

Solve for the area using the Area of a Triangle formula

$Area$ $\text(Area)$ $=$ $=$ $\frac{1}{2} \times$ $1/2 times$ $base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$ Area of a Triangle formula

$=$ $=$ $\frac{1}{2} \times$ $1/2 times$ $8$ $8$ $\times$ $times$ $9$ $9$ Plug in the known lengths

$=$ $=$ $36 m^{2}$ $36 m^2$

The given measurements are in metres, so the area is measured as square metres

$Area = 36 m^{2}$ $\text(Area)=36 m^2$
Question 3 of 5

3. Question
Find the area of the Parallelogram

The given measurements are in centimetres
- $Area =$ $\text(Area )=$ (40) $c m^{2}$ $cm^2$
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Area of a Parallelogram Formula

$Area =$ $\text(Area )=$ $base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$

Identify the known lengths

$base = 8$ $\text(base)=8$

$height = 5$ $\text(height)=5$

Solve for the area using the Area of a Parallelogram formula

$Area$ $\text(Area)$ $=$ $=$ $base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$ Area of a Parallelogram formula

$=$ $=$ $8$ $8$ $\times$ $times$ $5$ $5$ Plug in the known lengths

$=$ $=$ $40 c m^{2}$ $40 cm^2$

The given measurements are in centimetres, so the area is measured as square centimetres

$Area = 40 c m^{2}$ $\text(Area)=40 cm^2$

Question 4 of 5

Find the area of the Trapezium

The given measurements are in metres

$Area =$ $\text(Area )=$ (36) $m^{2}$ $m^2$

Question 5 of 5

5. Question
Find the area of the Kite
- $Area =$ $\text(Area )=$ (850) $c m^{2}$ $cm^2$
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Area of a Kite Formula

$Area = \frac{1}{2} \times$ $\text(Area)= 1/2 times$ $x$ $x$ $\times$ $times$ $y$ $y$

Identify the known lengths

$x = 85$ $x=85$

$y = 20$ $y=20$

Solve for the area using the Area of a Kite formula

$Area$ $\text(Area)$ $=$ $=$ $\frac{1}{2} \times$ $1/2 times$ $x$ $x$ $\times$ $times$ $y$ $y$ Area of a Kite formula

$=$ $=$ $\frac{1}{2} \times$ $1/2 times$ $85$ $85$ $\times$ $times$ $20$ $20$ Plug in the known lengths

$=$ $=$ $850 c m^{2}$ $850 cm^2$

The given measurements are in centimetres, so the area is measured as square centimetres

$Area = 850 c m^{2}$ $\text(Area)=850 cm^2$

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Quiz summary

Information

1. Question

Hint

Great Work!

Area of a Square Formula

Identify the known lengths

2. Question

Hint

Fantastic!

Area of a Triangle Formula

Identify the known lengths

3. Question

Hint

Nice Job!

Area of a Parallelogram Formula

Identify the known lengths

4. Question

Hint

Fantastic!

Area of a Trapezium Formula

Identify the known lengths

5. Question

Hint

Correct!

Area of a Kite Formula

Identify the known lengths

Quizzes

$Area$ $\text(Area)$	$=$ $=$	$side$ $\text(side)$ $\times$ $times$ $side$ $\text(side)$	Area of a Square formula
	$=$ $=$	$6$ $6$ $\times$ $times$ $6$ $6$	Plug in the known lengths
	$=$ $=$	$36$ $36$

$Area$ $\text(Area)$	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$	Area of a Triangle formula

	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $8$ $8$ $\times$ $times$ $9$ $9$	Plug in the known lengths

	$=$ $=$	$36 m^{2}$ $36 m^2$

$Area$ $\text(Area)$	$=$ $=$	$base$ $\text(base)$ $\times$ $times$ $height$ $\text(height)$	Area of a Parallelogram formula
	$=$ $=$	$8$ $8$ $\times$ $times$ $5$ $5$	Plug in the known lengths
	$=$ $=$	$40 c m^{2}$ $40 cm^2$

$Area$ $\text(Area)$	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $height$ $\text(height)$ $\times ($ $times ($ ${base}_{1}$ $\text(base)_1$ $+$ $+$ ${base}_{2}$ $\text(base)_2$ $)$ $)$	Area of a Trapezium formula

	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $4$ $4$ $\times ($ $times ($ $6$ $6$ $+$ $+$ $12$ $12$ $)$ $)$	Plug in the known lengths

	$=$ $=$	$36 m^{2}$ $36 m^2$

$Area$ $\text(Area)$	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $x$ $x$ $\times$ $times$ $y$ $y$	Area of a Kite formula

	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $85$ $85$ $\times$ $times$ $20$ $20$	Plug in the known lengths

	$=$ $=$	$850 c m^{2}$ $850 cm^2$