Question

answer the questions below. (a) the area of a rectangular garden is 4389 m². if the width of the garden is 57 m, what is its length? length of the garden: m (b) the perimeter of a rectangular window is 346 cm. if the length of the window is 92 cm, what is its width? width of the window: cm

Explanation:

Step1: Recall area formula

The area formula of a rectangle is $A = l\times w$, where $A$ is area, $l$ is length and $w$ is width. We need to find $l$, so $l=\frac{A}{w}$.

Step2: Calculate length for garden

Given $A = 4389\ m^{2}$ and $w = 57\ m$, then $l=\frac{4389}{57}=77\ m$.

Step3: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. We can rewrite it to solve for $w$: $w=\frac{P}{2}-l$.

Step4: Calculate width for window

Given $P = 346\ cm$ and $l = 92\ cm$, then $w=\frac{346}{2}-92=173 - 92=81\ cm$.

Answer:

(a) 77
(b) 81