Question

name____perimeter and area of parallelograms, triangles, trapezoids1. 9 cm14 cm7 cmp = ________a = ________2.2.3 ft2.8 ft2.1 ft1.5 ftp = ________a = ________3.1.2 m1.6 m2.0 mp = ________a = ________4.13 mm24 mm28 mm12 mm11 mmp = ________a = ________5.12 yds18 yds16 yds15 ydsp = ________a = ________6.14.7 in7.9 in6.7 in6.3 inp = ________a = ________7.6 cm$8\frac{3}{4}$ cm$5\frac{1}{4}$ cm$5\frac{1}{7}$ cm5 cmp = ________a = ________8.11.2 km9 km10 kmp = ________a = __________

Explanation:

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Problem 1 (Parallelogram)

Step1: Calculate perimeter

$P = 2\times(9 + 14) = 2\times23 = 46$ cm

Step2: Calculate area

$A = 14\times7 = 98$ cm²
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Problem 2 (Triangle)

Step1: Calculate perimeter

$P = 2.3 + 2.1 + 2.8 = 7.2$ ft

Step2: Calculate area

$A = \frac{1}{2}\times2.8\times1.5 = 2.1$ ft²
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Problem 3 (Right Triangle)

Step1: Calculate perimeter

$P = 1.2 + 1.6 + 2.0 = 4.8$ m

Step2: Calculate area

$A = \frac{1}{2}\times1.2\times1.6 = 0.96$ m²
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Problem 4 (Trapezoid)

Step1: Calculate perimeter

$P = 24 + 12 + 28 + 13 = 77$ mm

Step2: Calculate area

$A = \frac{1}{2}\times(24 + 28)\times11 = \frac{1}{2}\times52\times11 = 286$ mm²
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Problem 5 (Trapezoid)

Step1: Calculate perimeter

$P = 12 + 16 + 15 + 18 = 61$ yds

Step2: Calculate area

$A = \frac{1}{2}\times(18 + 16)\times12 = \frac{1}{2}\times34\times12 = 204$ yds²
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Problem 6 (Triangle)

Step1: Calculate perimeter

$P = 14.7 + 6.7 + 7.9 = 29.3$ in

Step2: Calculate area

$A = \frac{1}{2}\times7.9\times6.3 = 24.885$ in²
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Problem 7 (Trapezoid)

Step1: Convert mixed numbers to decimals

$8\frac{3}{4}=8.75$, $5\frac{1}{4}=5.25$, $5\frac{1}{2}=5.5$

Step2: Calculate perimeter

$P = 8.75 + 5.5 + 5.25 + 6 = 25.5$ cm

Step3: Calculate area

$A = \frac{1}{2}\times(8.75 + 5.25)\times5 = \frac{1}{2}\times14\times5 = 35$ cm²
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Problem 8 (Parallelogram)

Step1: Calculate perimeter

$P = 2\times(9 + 11.2) = 2\times20.2 = 40.4$ km

Step2: Calculate area

$A = 9\times10 = 90$ km²

Answer:

1. $P=46$ cm, $A=98$ cm²
2. $P=7.2$ ft, $A=2.1$ ft²
3. $P=4.8$ m, $A=0.96$ m²
4. $P=77$ mm, $A=286$ mm²
5. $P=61$ yds, $A=204$ yds²
6. $P=29.3$ in, $A=24.885$ in²
7. $P=25.5$ cm, $A=35$ cm²
8. $P=40.4$ km, $A=90$ km²