Answer: The length is 10metres and the width is 3 1/2metres or 3.5metres
Step-by-step explanation:
If the length of the rectangle is 3m more than ×2 the width, the dimensions (length & width) that will give an area of 27m^2 =?
Firstly, the area of a rectangle = (L+W)×2
Since the length is 3 more than ×2 the width,
The length, L us therefore = (2×w)+3= 2w+3
Recall that the area is 27m^2
Now, substitute L for 2w+3
[(2w+3)+w]×2 = 27
(2w+3+w)×2= 27
(3w+3)×2 = 27
6w+6=27
6w= 27-6
6w = 21
w = 21/6
w= 3 1/2m
If the width = 3 1/2, and area = (L+w)×2, we substitute "w" for 3 1/2 in the equation below:
(L+ 3 1/2)×2 = 27
2L + 7 = 27
2L =27-7
2L = 20
L = 10m
Therefore, the length = 10m and the width
= 3 1/2m
