Question

A- The area of a rectangular garden is 3657 m2 . If the length of the garden is 69 m, what is it’s width?Width of the garden: m B- The perimeter of a rectangular window is 328 cm. If the width of the window is 77 cm, what is its length? Length of the window: cm

Answer 1

Solution

A.

We are given the following

$\begin{gathered} Area(A)=3657m^2 \\ \\ Length(l)=69m \\ \\ Width(w)=? \end{gathered}$

We solve using the formula for finding the area of a rectangle

$\begin{gathered} A=lw \\ \\ 3657=69w \\ \\ w=\frac{3657}{69} \\ \\ w=53m \\ \\ Width\text{ of the garden = }53m \end{gathered}$

B.

We are given the following

$\begin{gathered} Perimeter(P)=328cm \\ \\ Width(w)=77cm \\ \\ Length(l)=? \end{gathered}$

Using the formula for finding the perimeter of a rectangle

$\begin{gathered} P=2(l+w) \\ \\ 328=2(l+77) \\ \\ l+77=\frac{328}{2} \\ \\ l+77=164 \\ \\ l=164-77 \\ \\ l=87 \\ \\ Length\text{ of the window = }87cm \end{gathered}$