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Sagot :
Answer
The length of the garden = 84 m
Explanation
Part (a)
The given parameters are:
Perimeter of the rectangular garden = 306 m
The width of the garden = 69 m
The length of the garden = ?
Solution:
Using the formula for the perimeter of a rectangle:
[tex]\begin{gathered} Perimeter=2(Length+Width \\ \\ 306m=2(L+69m) \\ \\ Divide\text{ }both\text{ }sides\text{ }by\text{ }2 \\ \\ \frac{306m}{2}=\frac{2(L+69m)}{2} \\ \\ 153m=L+69m \\ \\ L=153m-69m \\ \\ L=84\text{ }m \end{gathered}[/tex]The length of the garden = 84 m
Part (b):
The given parameters are:
The area of the rectangular window = 6364 cm²
The length of the window = 86 cm
The width of the window = ?
Solution:
The width of the rectangular window can be calculated using the formula for the area of a rectangle.
[tex]\begin{gathered} Area=Length\times Width \\ \\ 6364cm^2=86cm\times W \\ \\ Divide\text{ }both\text{ }sides\text{ }by\text{ }86cm \\ \\ \frac{6364cm^2}{86cm}=\frac{86cm\times W}{86cm} \\ \\ W=74\text{ }cm \end{gathered}[/tex]The width of the window = 74 cm
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