Area of Shapes 4

Topics

Pre - Algebra

Area

Area of Shapes

Area of Shapes 4

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Question 1 of 5

Find the area of the Trapezium

$Area =$ $\text(Area )=$ (45) $m^{2}$ $m^2$

Question 2 of 5

If the area of the Rhombus is

400 c m^{2}

$400 cm^2$ and the diagonal

B D

$BD$ is

50 c m

$50 cm$ , find the length of the diagonal

A C

$AC$

$A C =$ $AC=$ (16) $c m$ $cm$

Question 3 of 5

Find the area of the Trapezium

$Area =$ $\text(Area )=$ (110) $c m^{2}$ $cm^2$

Question 4 of 5

4. Question
Find the area of the Parallelogram
- $Area =$ $\text(Area )=$ (459) $c m^{2}$ $cm^2$
Correct

Well Done!

Incorrect

Area of a Parallelogram Formula

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

Identify the known lengths

$\text(base)=17$

$\text(height)=27$

Solve for the area using the Area of a Parallelogram formula

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

$=$ $17$ $times$ $27$ Plug in the known lengths

$=$ $459 cm^2$

$\text(Area)=459 cm^2$
Question 5 of 5

5. Question
Find the area of the Kite
- $\text(Area )=$ (16) $m^2$
Correct

Correct!

Incorrect

Area of a Kite Formula

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

Identify the known lengths

$\text(base)=4$

$\text(height)=8$

Solve for the area using the Area of a Kite formula

$\text(Area)$ $=$ $1/2 times$ $\text(base)$ $times$ $\text(height)$ Area of a Kite formula

$=$ $1/2 times$ $4$ $times$ $8$ Plug in the known lengths

$=$ $16 m^2$

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

$\text(Area)=16 m^2$

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

	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $6$ $6$ $\times ($ $times ($ $5$ $5$ $+$ $+$ $10$ $10$ $)$ $)$	Plug in the known lengths

	$=$ $=$	$45 m^{2}$ $45 m^2$

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

$400$ $400$	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $50$ $50$ $\times$ $times$ $y$ $y$	Evaluate

$400$ $400$	$=$ $=$	$25 \times y$ $25 times y$

$400$ $400$ $\div 25$ $divide 25$	$=$ $=$	$25 \times y$ $25 times y$ $\div 25$ $divide 25$	Divide both sides by $25$ $25$
$16$ $16$	$=$ $=$	$25$ $25$ $\times y$ $times y$ $\div 25$ $divide 25$	$\times 25 \div 25$ $times 25 divide 25$ cancels out
$16$ $16$	$=$ $=$	$y$ $y$
$y$ $y$	$=$ $=$	$16 c m$ $16 cm$
$A C$ $AC$	$=$ $=$	$16 c m$ $16 cm$	$y = A C$ $y=AC$

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

	$=$ $=$	$\frac{1}{2} \times$ $1/2 times$ $10$ $10$ $\times ($ $times ($ $8$ $8$ $+$ $+$ $14$ $14$ $)$ $)$	Plug in the known lengths

	$=$ $=$	$110 c m^{2}$ $110 cm^2$

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Quiz summary

Information

1. Question

Nice Job!

Area of a Trapezium Formula

Identify the known lengths

2. Question

Hint

Exceptional!

Area of a Rhombus Formula

Identify the known lengths

3. Question

Nice Job!

Area of a Trapezium Formula

Identify the known lengths

4. Question

Well Done!

Area of a Parallelogram Formula

Identify the known lengths

5. Question

Correct!

Area of a Kite Formula

Identify the known lengths

Quizzes

$\text(Area)$	$=$	$\text(base)$ $times$ $\text(height)$	Area of a Parallelogram formula
	$=$	$17$ $times$ $27$	Plug in the known lengths
	$=$	$459 cm^2$

$\text(Area)$	$=$	$1/2 times$ $\text(base)$ $times$ $\text(height)$	Area of a Kite formula

	$=$	$1/2 times$ $4$ $times$ $8$	Plug in the known lengths

	$=$	$16 m^2$