Answer:
The area of the rectangle in terms of 'x' = 13x
Step-by-step explanation:
Using the perimeter formula to find the width w.
[tex]P=2(l+w)[/tex]
[tex]P = 2l + 2w[/tex]
[tex]2w = P-2l[/tex]
Dividing both sides by 2
[tex]w\:=\:\frac{P}{2}-2[/tex]
as P = 30 cm
[tex]w\:=\:\frac{30}{2}-2[/tex]
[tex]w\:=\:15-2[/tex]
[tex]w = 13[/tex] cm
Using the formula of the rectangle area
[tex]A = wl[/tex]
substitute w = 13 and l = x in the formula
[tex]A=13\times \:x[/tex]
[tex]A = 13x[/tex]
Therefore, the area of the rectangle in terms of 'x' = 13x
