Answered

IDNLearn.com is the perfect place to get answers, share knowledge, and learn new things. Join our knowledgeable community to find the answers you need for any topic or issue.

(a)The perimeter of a rectangular garden is 306m.If the width of the garden is 69m, what is its length?Length of the garden: m (b)The area of a rectangular window is 6364cm2.If the length of the window is 86cm, what is its width?Width of the window: cm

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

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.