Question

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​

Answer 1

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

• Perimeter = 30 cm

• Length = x cm

Using the perimeter formula to find the width w.

$P=2(l+w)$

$P = 2l + 2w$

$2w = P-2l$

Dividing both sides by 2

$w\:=\:\frac{P}{2}-2$

as P = 30 cm

$w\:=\:\frac{30}{2}-2$

$w\:=\:15-2$

$w = 13$ cm

Using the formula of the rectangle area

$A = wl$

substitute w = 13 and l = x in the formula

$A=13\times \:x$

$A = 13x$

Therefore, the area of the rectangle in terms of 'x' = 13x