Tanya has a garden with a trench around it. The garden is a rectangle with length 2 \dfrac12 \text{m}2 2
1
m2, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 2 \text{ m}2 m2, start text, space, m, end text. The trench and garden together make a rectangle with length 3 \dfrac12 \text{m}3 2
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m3, start fraction, 1, divided by, 2, end fraction, start text, m, end text and width 3 \text{ m}3 m3, start text, space, m, end text.
Find the area of just the trench.
Answers
If the dimension of the garden is 2.5 m x 2 m and the dimension of the garden+trench is 3.5 m x 3 m, then the area of just the trench is 5.5 m².
Step-by-step explanation:
The dimensions of the garden that Tanya has:
Length = 2 ½ m = 2.5 m
Breadth or width = 2 m
∴ The area of the rectangular garden = length * breadth = 2.5 × 2 = 5 m²
The dimensions of the trench and garden together:
Length = 3 ½ m = 3.5 m
Breadth or width = 3 m
∴ The area of the trench and garden together = length × breadth = 3.5 × 3 = 10.5 m²
Thus,
The area of just the trench is given by,
= [area of the trench and garden together] – [area of the rectangular garden]
= 10.5 m² – 5 m²
= 5.5 m²
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Answer:
5.5
Step-by-step explanation:
The dimensions of the garden that Tanya has:
Length = 2 ½ m = 2.5 m
Breadth or width = 2 m
∴ The area of the rectangular garden = length * breadth = 2.5 × 2 = 5 m²
The dimensions of the trench and garden together:
Length = 3 ½ m = 3.5 m
Breadth or width = 3 m
∴ The area of the trench and garden together = length × breadth = 3.5 × 3 = 10.5 m²
Thus,
The area of just the trench is given by,
= [area of the trench and garden together] – [area of the rectangular garden]
= 10.5 m² – 5 m²
= 5.5 m²
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