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Calculate the perimeter of the given shapes and solve a word problem about distance walked.
Mathematics
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2 partsStep-by-step solution
12 stepsHere are the solutions for the questions:
Part 3· 6 steps
Calculate Perimeter of given shape
- Shape 1 (Rectangle):
Identify the length and width of the rectangle.
Length ($L$) = 9 cm Width ($W$) = 7 cmUse the formula for the perimeter of a rectangle, .
$$ P = 2(9 \text{ cm} + 7 \text{ cm}) $$Calculate the sum inside the parentheses and then multiply.
$$ P = 2(16 \text{ cm}) $$ $$ P = 32 \text{ cm} $$ The perimeter of the first shape is $\boxed{\text{32 cm}}$.- Shape 2 (Combined shape):
Identify all the outer side lengths of the combined shape.
The outer sides are 4 cm (top), 3 cm (left), 4 cm (bottom), 5 cm (right slanted), and 5 cm (top slanted).Add all the outer side lengths to find the perimeter.
$$ P = 4 \text{ cm} + 3 \text{ cm} + 4 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} $$Calculate the sum.
$$ P = 21 \text{ cm} $$ The perimeter of the second shape is $\boxed{\text{21 cm}}$.
Part 4
Word Problem on Length and Perimeter
- a) Joy lives 2 km away from Panatina Campus. If he walks to Panatina Campus and return home each day. What would be the total distance he walks in 5 days?
Calculate the distance Joy walks in one day (to campus and back home).
Distance to campus = 2 km Distance back home = 2 km Daily distance = $2 \text{ km} + 2 \text{ km} = 4 \text{ km}$Calculate the total distance walked over 5 days.
Total distance = Daily distance $\times$ Number of days Total distance = $4 \text{ km/day} \times 5 \text{ days}$Perform the multiplication.
Total distance = $20 \text{ km}$ Joy walks a total distance of $\boxed{\text{20 km}}$.- b) Joy wants to make fence of timber around her garden. The garden is a rectangular shape. The length is 12 m and the width is 7 m. What is the perimeter of the garden?
Identify the length and width of the rectangular garden.
Length ($L$) = 12 m Width ($W$) = 7 mUse the formula for the perimeter of a rectangle, .
$$ P = 2(12 \text{ m} + 7 \text{ m}) $$Calculate the sum inside the parentheses and then multiply.
$$ P = 2(19 \text{ m}) $$ $$ P = 38 \text{ m} $$ The perimeter of the garden is $\boxed{\text{38 m}}$.
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