Question

what happened to mr. meter when mr. meters mother flew in for a visit?1. find the perimeter and the area of each parallelogram.①②③④⑤⑥2. solve:⑦ the base of a parallelogram is 10 ft. the height is 2 ft. more than half the base. find the area.⑧ the height of a parallelogram is 4.5 cm. the base is twice the height. what is the area?⑨ the area of a parallelogram is 60 sq. ft. the height is 5 ft. how long is the base?⑩ the area of a parallelogram is 375 cm². the base is 25 cm. find the height.tshhereewewait27.6 cm17.4 cm33.8 cm15 cm32 in.²60 m1.08 m²70 in.²scantendarealt37.6 cm²180 cm²12 ft18 m380 ft1.26 m²16.32 cm²19 ftppbmvettviserit5.4 m300 ft39.06 cm²84 sq.²40.5 cm²26 in.6.3 m8,100 ft²

Explanation:

Step1: Recall area formula for parallelogram

The area of a parallelogram is $A = b \times h$, where $b$ is base, $h$ is height (perpendicular to base).
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For Figure ①:

Step1: Identify base and height

$b = 8.5\ \text{m}$, $h = 4.7\ \text{m}$

Step2: Calculate area

$A = 8.5 \times 4.7 = 39.95\ \text{m}^2$
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For Figure ②:

Step1: Identify base and height

$b = 16\ \text{m}$, $h = 12.5\ \text{m}$

Step2: Calculate area

$A = 16 \times 12.5 = 200\ \text{m}^2$
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For Figure ③:

Step1: Match base to perpendicular height

Use $b = 8.1\ \text{cm}$, $h = 5.2\ \text{cm}$ (the 5.8 cm side is not a height for this base)

Step2: Calculate area

$A = 8.1 \times 5.2 = 42.12\ \text{cm}^2$
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For Figure ④:

Step1: Identify base and height

$b = 80\ \text{ft}$, $h = 100\ \text{ft}$

Step2: Calculate area

$A = 80 \times 100 = 8000\ \text{ft}^2$
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For Figure ⑤:

Step1: Identify base and height

$b = 9.3\ \text{cm}$, $h = 4.2\ \text{cm}$

Step2: Calculate area

$A = 9.3 \times 4.2 = 39.06\ \text{cm}^2$
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For Figure ⑥:

Step1: Identify base and height

$b = 0.7\ \text{m}$, $h = 1.6\ \text{m}$

Step2: Calculate area

$A = 0.7 \times 1.6 = 1.12\ \text{m}^2$
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For Problem ⑦:

Step1: Calculate height

Height $h = \frac{1}{2} \times 10 + 2 = 7\ \text{ft}$

Step2: Calculate area

$A = 10 \times 7 = 70\ \text{ft}^2$
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For Problem ⑧:

Step1: Calculate base

Base $b = 2 \times 4.5 = 9\ \text{cm}$

Step2: Calculate area

$A = 9 \times 4.5 = 40.5\ \text{cm}^2$
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For Problem ⑨:

Step1: Rearrange area formula for base

$b = \frac{A}{h}$

Step2: Substitute values

$b = \frac{60}{5} = 12\ \text{ft}$
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For Problem ⑩:

Step1: Rearrange area formula for height

$h = \frac{A}{b}$

Step2: Substitute values

$h = \frac{375}{25} = 15\ \text{cm}$

Answer:

1. $39.95\ \text{m}^2$
2. $200\ \text{m}^2$
3. $42.12\ \text{cm}^2$
4. $8000\ \text{ft}^2$
5. $39.06\ \text{cm}^2$
6. $1.12\ \text{m}^2$
7. $70\ \text{ft}^2$
8. $40.5\ \text{cm}^2$
9. $12\ \text{ft}$
10. $15\ \text{cm}$

(To solve the riddle, match each calculated answer to the corresponding value in the table and map the letters to the blanks in order of the problems/figures ①-⑩)