Question

Answer the questions below.

(a) The perimeter of a rectangular garden is 306 m.
If the width of the garden is 68 m, what is its length?
Length of the garden: Om
(b) The area of a rectangular window is 5124 cm?.
If the length of the window is 84 cm, what is its width?
Width of the window: cn
cm
X

Answer 1

(a) 85m

(b) 61cm

Explanation:

(a) We know that the formula for the perimeter of a rectangle is
`2(a+b)`, where a is the length and b is the width, or vice versa. So for this garden,
`2(a+68)=306\\a+68=153\\a=85`(m)

(b) We know that the formula for the area of a rectangle is
`L*W`, where L is the length and W is the width. Note that these values are interchangeable, e.g. 2*3=3*2=6. So for this window,

`84*W=5124\\W=61`(cm)