Answer:
Dimensions of rectangle are [tex]length = 12.7cm[/tex] and [tex]width=3.5cm[/tex]
Step-by-step explanation:
Let w be the width of the rectangle.
Given:
The length of a rectangle is 5.7 cm more than 2 times the width.
So, [tex]length = 5.7+2\times w[/tex]----(1)
Perimeter of the rectangle is 32.4 cm.
The perimeter of the rectangle [tex]=2(length + width)[/tex]
[tex]2(length + width)=perimeter[/tex]
[tex]2((5.7+2\times w)+ w)=32.4[/tex]
[tex]5.7+3\times w=\frac{32.4}{2}[/tex]
[tex]3\times w=16.2-5.7[/tex]
[tex]3\times w=10.5[/tex]
[tex]w=\frac{10.5}{3}[/tex]
[tex]w=3.5cm[/tex]
width is 3.5 cm
Put the width value in equation 1.
[tex]length = 5.7+2\times 3.5[/tex]
[tex]length = 5.7+7[/tex]
[tex]length = 12.7cm[/tex]
length = 12.7 cm
Therefore, Dimensions of rectangle are [tex]length = 12.7cm[/tex] and [tex]width=3.5cm[/tex]
