Length of the rectangle: 12.5 cm
Width of the rectangle: 7.5 cm
Step-by-step explanation:
The perimeter of a rectangle is the sum of the length of all sides of the rectangle, and it is given by
[tex]p=2L+2W[/tex]
where
L is the length
W is the width
For the rectangle in this problem, we know that
p = 40 cm (perimeter is 40 cm)
L = W + 5 (length is 5 cm more than the width)
So we can write:
[tex]p=2(W+5)+2W[/tex]
Solving for W, we find the width:
[tex]p=2W+10+2W\\p-10=4W\\W=\frac{p-10}{4}=\frac{40-10}{4}=7.5 cm[/tex]
And the length is
[tex]L=W+5=7.5+5=12.5 cm[/tex]
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